1. This workshop assumes you have R and RSTudio installed on your computer.

2. Open the repo at https://github.com/dlab-berkeley/R-Geospatial-Fundamentals

   • Download and unzip the zip file
   • Take note of where the folder is located

3. Locate the file Geospatial-Fundamentals-in-R-with-sf.Rproj in the folder and double-click on it. This will launch RStudio and with your working directory set to the folder containing these workshop files.

4. Check out the list of workshop files in the RSTUDIO files panel in the bottom-right of the RStudio interface. Navigate to the docs folder to see the tutorial docs. Double-click on 09_Raster_Data.Rmd to open that file in RStudio.

5. Install the required libraries in RStudio, if you do not have them already

our_packages<- c("ggplot2", "sf", "tmap", "raster")
for (i in our_packages) {
  if ( i %in% rownames(installed.packages()) == FALSE) {
    install.packages(i)
  }
}

Introductions: me, you, the D-Lab, the workshop series

Review basic raster concepts

Read in some vector data and new raster data

Make some raster and combined raster-vector maps

Run some raster and raster-vector operations and analyses

Old favorites

• sp for vector data
• raster for raster data

The raster package depends on sp for vector-raster operations.

New packages:

• sf not so new anymore, the new default for vector data

• terra depends on the sf for vector-raster operations.

See this nice chart from the online book Geocomputation with R https://geocompr.robinlovelace.net/figures/01-cranlogs.png

Let’s load the libraries we will use

library(sf)     # simple features objects and methods
library(tmap)   # mapping spatial objects
library(raster) # reading in and operating on rasters
library(here)   # build paths from folder with .rproj file

A common practice for any coding script is to set your working directory to point to the folder in which the files you will be working with reside. In R, you would use the command setwd to set your working directory to the location of the tutorial files.

For example:

my_folder = "~/Documents/repos/R-Geospatial-Fundamentals"
setwd(my_folder)

Alternately, you can use the here() function from the here package to build file paths that start at the project directory, as defined by the location of the Rproj file. This method is the preferred way of setting the working directory in R and less error prone.

Read in the data from an ESRI shapefile to an sf spatial object with the function st_read.

# read the 'sftracts_wpop' shapefile
SFtracts_NAD83 <- st_read(here("notebook_data",
                         "part_3", 
                         "sftracts_wpop.shp"))

## Reading layer `sftracts_wpop' from data source 
##   `/Users/pattyf/Documents/Dlab/workshops/AY2022/Dev/notebook_data/part_3/sftracts_wpop.shp' 
##   using driver `ESRI Shapefile'
## Simple feature collection with 195 features and 10 fields
## Geometry type: MULTIPOLYGON
## Dimension:     XY
## Bounding box:  xmin: -122.5145 ymin: 37.70813 xmax: -122.328 ymax: 37.86334
## Geodetic CRS:  NAD83

# Take a look
head(SFtracts_NAD83)

## Simple feature collection with 6 features and 10 fields
## Geometry type: MULTIPOLYGON
## Dimension:     XY
## Bounding box:  xmin: -122.4432 ymin: 37.77376 xmax: -122.4055 ymax: 37.80218
## Geodetic CRS:  NAD83
##   STATEFP COUNTYFP TRACTCE             AFFGEOID       GEOID   NAME LSAD  ALAND
## 1      06      075  010700 1400000US06075010700 06075010700    107   CT 183170
## 2      06      075  012201 1400000US06075012201 06075012201 122.01   CT  92048
## 3      06      075  013102 1400000US06075013102 06075013102 131.02   CT 237886
## 4      06      075  013500 1400000US06075013500 06075013500    135   CT 235184
## 5      06      075  015500 1400000US06075015500 06075015500    155   CT 311339
## 6      06      075  016300 1400000US06075016300 06075016300    163   CT 245867
##   AWATER pop14                       geometry
## 1      0  5311 MULTIPOLYGON (((-122.4129 3...
## 2      0  4576 MULTIPOLYGON (((-122.4183 3...
## 3      0  2692 MULTIPOLYGON (((-122.4302 3...
## 4      0  2592 MULTIPOLYGON (((-122.4362 3...
## 5      0  3918 MULTIPOLYGON (((-122.4432 3...
## 6      0  4748 MULTIPOLYGON (((-122.4332 3...

Coordinate reference system details

# get CRS details
st_crs(SFtracts_NAD83)

## Coordinate Reference System:
##   User input: NAD83 
##   wkt:
## GEOGCRS["NAD83",
##     DATUM["North American Datum 1983",
##         ELLIPSOID["GRS 1980",6378137,298.257222101,
##             LENGTHUNIT["metre",1]]],
##     PRIMEM["Greenwich",0,
##         ANGLEUNIT["degree",0.0174532925199433]],
##     CS[ellipsoidal,2],
##         AXIS["latitude",north,
##             ORDER[1],
##             ANGLEUNIT["degree",0.0174532925199433]],
##         AXIS["longitude",east,
##             ORDER[2],
##             ANGLEUNIT["degree",0.0174532925199433]],
##     ID["EPSG",4269]]

Read in property point data from a CSV file.

# read from CSV file
SFhomes <- read.csv(here("notebook_data",
                         "part_3",
                         "sf_properties.csv"), 
                    stringsAsFactors = FALSE)

# subset the data because it is too much
SFhomes15 <- subset(SFhomes, as.numeric(SalesYear) == 2015)

# convert it to an `sf` object
SFhomes15_WGS84 <- st_as_sf(SFhomes15, 
                         coords = c('lon', 'lat'),
                         crs = 4326)

#take a look at the CRS details
st_crs(SFhomes15_WGS84)

## Coordinate Reference System:
##   User input: EPSG:4326 
##   wkt:
## GEOGCRS["WGS 84",
##     DATUM["World Geodetic System 1984",
##         ELLIPSOID["WGS 84",6378137,298.257223563,
##             LENGTHUNIT["metre",1]]],
##     PRIMEM["Greenwich",0,
##         ANGLEUNIT["degree",0.0174532925199433]],
##     CS[ellipsoidal,2],
##         AXIS["geodetic latitude (Lat)",north,
##             ORDER[1],
##             ANGLEUNIT["degree",0.0174532925199433]],
##         AXIS["geodetic longitude (Lon)",east,
##             ORDER[2],
##             ANGLEUNIT["degree",0.0174532925199433]],
##     USAGE[
##         SCOPE["Horizontal component of 3D system."],
##         AREA["World."],
##         BBOX[-90,-180,90,180]],
##     ID["EPSG",4326]]

# Or the shorter proj4string
st_crs(SFhomes15_WGS84)$proj4string

## [1] "+proj=longlat +datum=WGS84 +no_defs"

We can use the sf::st_transform function to reproject the SFhomes15_WGS84 data to match that of the SFtracts_NAD83 or (vice versa).

• NOTE: We’re overwriting the previous SFhomes15_sf object here!
• This is fine to do if we want, but we should always beware.

# transform CRS and output a new object, overwriting old one
SFhomes15_NAD83 <- st_transform(SFhomes15_WGS84, st_crs(SFtracts_NAD83))

# Check projection equality
st_crs(SFhomes15_NAD83) == st_crs(SFtracts_NAD83)

## [1] TRUE

plot(SFtracts_NAD83$geometry)
plot(SFhomes15_NAD83$geometry, add=T, col="red")

In the code cell below - transform SFtracts_NAD83 to WGS84 and name it SFtracts_WGS84 - take a look at the CRS info in the new - Plot the WGS84 homes on top of the transformed SF tracts

# YOUR CODE HERE
# transform SFtracts_NAD83 to WGS84
# SFtracts_WGS84 <- 

# Take a look at the crs
#Plot the WGS84 homes on top of the transformed SF tracts

WGS84 is a geographic CRS (lon/lat) optimized for the globe. It is the default!

NAD83 is a geographic CRS optimized for North America. It’s best for USA data.

NAD27 is old and inaccurate! Don’t use it.

# Make sure we have the tract data from previous challenge!
SFtracts_WGS84 <- st_transform(SFtracts_NAD83, st_crs(SFhomes15_WGS84))
SFtracts_NAD27 <- st_transform(SFtracts_NAD83, 4267)

plot(SFtracts_WGS84$geometry, border="black")
plot(SFtracts_NAD83$geometry, border="green", add=T)
plot(SFtracts_NAD27$geometry, border="red", add=T)

Use the fabulous raster package to read in a DEM

# Reading in and plotting raster files

#read in a Bay Area DEM (Digital Elevation Model)
#(from http://www.webgis.com/terr_pages/CA/dem1/sanfrancisco.html)
DEM <- raster(here("notebook_data",
                   "part_3",
                   "san_francisco-e.DEM"))

Make a quick map of the data to check it out

#plot it
plot(DEM)

To see a summary of the structure and content of a RasterLayer object, we can just enter the object’s name.

DEM

## class      : RasterLayer 
## dimensions : 1201, 1201, 1442401  (nrow, ncol, ncell)
## resolution : 0.0008333333, 0.0008333333  (x, y)
## extent     : -123.0004, -121.9996, 36.99958, 38.00042  (xmin, xmax, ymin, ymax)
## crs        : +proj=longlat +datum=NAD27 +no_defs 
## source     : san_francisco-e.DEM 
## names      : san_francisco.e 
## values     : -32768, 32767  (min, max)

You can view more detail in the RStudio Environment panel.

A raster should really just be a matrix of data, with metadata specifying it the correct location on the Earth’s surface, right?

In a raster object, the data and metadata will all be saved in their own ‘slots’, which are indexed by ‘@’ rather than ‘$’.

(‘Slots’ are components used to organize ‘S4’ objects. ‘S4’ is a data-type commonly used by third-party packages to define their own special data structures.)

Here’s some of the important metadata.

DEM@extent

## class      : Extent 
## xmin       : -123.0004 
## xmax       : -121.9996 
## ymin       : 36.99958 
## ymax       : 38.00042

DEM@crs

## CRS arguments: +proj=longlat +datum=NAD27 +no_defs

DEM@ncols

## [1] 1201

DEM@nrows

## [1] 1201

dim(DEM)

## [1] 1201 1201    1

And notice that the DEM object is indeed an ‘S4’ object.

class(DEM)

## [1] "RasterLayer"
## attr(,"package")
## [1] "raster"

typeof(DEM)

## [1] "S4"

Note that a raster object’s structural organization and string-representation (the bit that is printed to the screen when you call the variable’s name) are fundamentally different from those of sf objects. We can explore that in the Environment panel.

For example, a RasterLayer has information on the resolution.

DEM

## class      : RasterLayer 
## dimensions : 1201, 1201, 1442401  (nrow, ncol, ncell)
## resolution : 0.0008333333, 0.0008333333  (x, y)
## extent     : -123.0004, -121.9996, 36.99958, 38.00042  (xmin, xmax, ymin, ymax)
## crs        : +proj=longlat +datum=NAD27 +no_defs 
## source     : san_francisco-e.DEM 
## names      : san_francisco.e 
## values     : -32768, 32767  (min, max)

What does the resolution mean?

res(DEM)

## [1] 0.0008333333 0.0008333333

(DEM@extent@xmax - DEM@extent@xmin) / DEM@ncols

## [1] 0.0008333333

(DEM@extent@ymax - DEM@extent@ymin) / DEM@nrows

## [1] 0.0008333333

DEM

## class      : RasterLayer 
## dimensions : 1201, 1201, 1442401  (nrow, ncol, ncell)
## resolution : 0.0008333333, 0.0008333333  (x, y)
## extent     : -123.0004, -121.9996, 36.99958, 38.00042  (xmin, xmax, ymin, ymax)
## crs        : +proj=longlat +datum=NAD27 +no_defs 
## source     : san_francisco-e.DEM 
## names      : san_francisco.e 
## values     : -32768, 32767  (min, max)

It’s the cell-size! That is, the real-world distance of the x and y sides of each cell (i.e. pixel) in our RasterLayer, expressed in the distance units of the object (as determined by its projection). What are those distance units?

Are a component of the CRS.

If you want meters or feet you need to transform (or reproject) the raster to a projected 2D CRS that uses those units.

For example, UTM zone 10N, NAD83 (epsg code = 26911) is a widely used projected CRS for Northern CA spatial data analysis.

We will practice reprojecting rasters in just a little bit!

As for our matrix of data, it should live somewhere inside the @data slot, right?

str(DEM@data)

## Formal class '.SingleLayerData' [package "raster"] with 13 slots
##   ..@ values    : logi(0) 
##   ..@ offset    : num 0
##   ..@ gain      : num 1
##   ..@ inmemory  : logi FALSE
##   ..@ fromdisk  : logi TRUE
##   ..@ isfactor  : logi FALSE
##   ..@ attributes: list()
##   ..@ haveminmax: logi TRUE
##   ..@ min       : num -32768
##   ..@ max       : num 32767
##   ..@ band      : int 1
##   ..@ unit      : chr ""
##   ..@ names     : chr "san_francisco.e"

There’s a bunch of stuff there. Let’s take a look at the @data@values slot…

DEM@data@values

## logical(0)

What happened there? How can our data be logical(0)? Where’s our data?

DEM@data@inmemory

## [1] FALSE

DEM@data@fromdisk

## [1] TRUE

It appears our data was not all read into memory. Instead, our RasterLayer object contains a pointer to where that data is held on disk (to save computer memory).

How do we see the values, then?

Well, we can still subset the values, using two-dimensional bracket subsetting notation, just as we’d expect for a matrix.

DEM[1:4, 1:4] # return the values in rows 1-4 and cols 1-4

##  [1] 120 120 117 111 123 123 118 109 127 127 119 113 130 130 125 119

DEM[1,4]      # return the value in the cell at row 1, col 4

##     
## 111

And we’ll get back a vector of the values from that subsetted matrix, unfolded.

We can even subset the entire thing, getting back all of the values.

DEM[,]

##     [1] 120 120 117 111 104  98  92  89  87  85  82  80  79  76  72  67  57  45
##    [19]  32  20  12   6   3   1   0   0   0   0   0   0   0   0   0   0   0   0
##    [37]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##    [55]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##    [73]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##    [91]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [109]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [127]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [145]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [163]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [181]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [199]   0   0   0   0   0   0   0   1   3  11  19  27  33  40  51  59  70  69
##   [217]  91 108 123 140 158 168 185 196 204 205 204 194 195 186 172 164 152 135
##   [235] 118 101  81  69  62  54  50  53  53  54  56  58  74  91 107 126 143 162
##   [253] 174 202 223 234 246 260 282 308 336 367 383 385 379 371 359 345 325 311
##   [271] 280 259 249 236 226 215 202 188 170 157 145 130 118 109 101  95  89  86
##   [289]  83  81  82  79  79  85  90  96  99 100 103 111 119 122 123 124 125 128
##   [307] 143 158 168 175 182 188 192 209 222 226 234 250 265 279 291 304 306 305
##   [325] 326 344 355 367 379 389 395 395 391 380 371 365 352 329 314 300 281 271
##   [343] 259 239 214 188 172 158 140 122 112 110 110 115 146 173 180 182 212 243
##   [361] 263 275 282 265 249 218 202 198 191 189 194 194 196 193 192 198 216 231
##   [379] 239 242 246 249 262 274 284 294 302 306 322 342 357 368 374 371 362 357
##   [397] 357 355 356 360 368 376 379 387 397 406 418 419 431 434 432 426 420 414
##   [415] 407 403 397 388 378 368 355 345 333 325 313 302 295 288 281 273 259 249
##   [433] 237 224 215 211 216 218 230 235 250 249 267 285 295 311 324 317 314 305
##   [451] 284 265 253 243 233 222 211 216 217 220 216 202 187 180 155 136 126 134
##   [469] 130 123 114 103  94  88  76  67  62  58  56  59  67  76  84  90  92  89
##   [487]  84  80  80  88  99 112 126 141 156 169 178 183 180 172 160 146 133 119
##   [505] 106  94  84  76  68  63  59  57  57  58  60  63  69  76  86  96 106 116
##   [523] 120 116 110 101  92  83  74  68  62  57  52  48  46  44  43  43  44  45
##   [541]  47  48  47  45  42  39  36  34  33  31  30  30  29  29  29  29  29  28
##   [559]  28  28  28  28  28  29  30  31  32  33  34  35  36  38  40  42  45  51
##   [577]  59  69  81  94 108 123 136 147 157 162 165 167 170 174 180 187 195 204
##   [595] 213 218 214 208 200 189 175 162 147 135 127 126 129 128 121 112 101  90
##   [613]  80  72  64  60  60  62  65  71  79  88  97 106 108 107 102  95  87  79
##   [631]  72  66  61  57  53  50  47  43  40  36  32  28  24  20  16  13   9   6
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##   [667]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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##   [703]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [721]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [739]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [757]   0   0   0   1   1   3   6   9  13  17  20  21  22  22  22  21  21  21
##   [775]  21  21  20  20  20  19  19  19  19  19  20  20  20  21  22  22  22  22
##   [793]  22  22  22  22  22  22  23  24  24  24  25  25  25  25  26  27  28  29
##   [811]  30  31  32  32  33  33  34  35  36  37  38  39  40  42  45  49  52  56
##   [829]  58  60  61  62  63  66  68  70  72  72  72  70  67  64  61  57  54  52
##   [847]  50  48  47  46  44  41  38  34  31  29  29  31  34  37  41  44  48  51
##   [865]  54  56  58  60  61  63  65  68  70  74  77  79  79  79  80  80  81  82
##   [883]  82  82  81  80  78  76  74  71  68  64  61  59  58  58  57  57  56  56
##   [901]  56  56  57  58  60  62  66  70  75  81  87  94 100 105 110 114 118 123
##   [919] 129 137 145 152 159 163 168 173 177 179 179 179 179 180 182 186 189 187
##   [937] 180 170 158 147 138 131 130 132 137 140 138 133 125 117 109 104  99  97
##   [955]  98 100 102 105 108 110 111 113 117 122 129 138 147 156 164 169 173 175
##   [973] 176 178 179 180 182 185 188 191 193 194 194 193 193 193 193 192 191 191
##   [991] 191 191 190 189 190 196 206 205 196 192 185 184 185 189 193 196 199 200
##  [1009] 200 199 207 198 179 159 142 127 116 109 108 109 112 116 120 124 127 129
##  [1027] 132 135 137 138 137 133 126 117 106  95  82  71  61  53  48  45  43  42
##  [1045]  42  43  45  48  51  56  60  62  63  62  60  58  55  52  49  46  43  41
##  [1063]  39  37  37  36  36  36  37  37  38  38  38  38  37  37  36  36  36  36
##  [1081]  36  35  35  36  38  41  44  47  50  53  56  58  59  60  61  62  62  63
##  [1099]  62  60  57  53  48  44  40  36  34  32  29  27  24  22  20  19  18  17
##  [1117]  17  17  17  18  19  20  21  22  23  24  25  26  27  28  29  29  29  29
##  [1135]  30  30  30  31  32  33  33  33  33  33  33  33  34  34  34  33  33  33
##  [1153]  34  34  35  35  35  35  35  34  34  33  32  32  32  32  33  33  34  35
##  [1171]  35  34  34  34  34  34  35  36  38  39  40  40  39  38  38  37  36  35
##  [1189]  35  34  33  32  31  30  29  29  29  30  30  30  31 123 123 118 109 102
##  [1207]  96  89  85  83  82  81  80  79  76  72  67  57  45  32  19  11   6   3
##  [1225]   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1243]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1261]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1279]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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##  [1387]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1405]   0   0   0   1   7  16  23  29  36  49  56  61  64  88 104 121 139 158
##  [1423] 170 186 197 203 204 203 193 186 180 169 159 149 134 117 100  81  69  61
##  [1441]  52  47  44  47  52  56  59  75  92 107 126 143 160 172 201 223 232 240
##  [1459] 257 280 304 334 366 382 385 381 373 360 345 325 311 280 259 254 247 235
##  [1477] 222 208 195 183 163 147 135 126 118 111 105  98  95  94  93  91  88  87
##  [1495]  89  94  99 101 101 103 111 119 123 125 124 123 122 141 157 168 176 183
##  [1513] 190 195 210 223 232 238 251 266 279 291 304 307 306 327 344 355 367 378
##  [1531] 388 393 393 391 382 372 367 353 329 314 300 289 277 266 254 221 191 173
##  [1549] 159 141 131 124 117 113 116 147 173 182 184 214 243 263 275 279 264 249
##  [1567] 218 202 191 186 186 186 187 190 187 184 195 214 230 233 232 233 237 257
##  [1585] 272 281 289 300 303 320 341 356 369 377 376 370 367 365 362 362 366 372
##  [1603] 378 385 392 400 409 419 425 433 439 437 432 428 422 416 410 404 392 380
##  [1621] 371 362 352 342 330 317 304 298 295 290 279 266 253 242 234 227 222 223
##  [1639] 227 234 239 252 251 268 285 297 314 326 318 315 306 284 265 253 242 234
##  [1657] 227 223 223 227 229 226 207 193 187 159 141 130 134 139 131 120 109 102
##  [1675]  95  81  71  64  59  55  58  65  72  79  85  87  84  79  75  77  89 103
##  [1693] 115 127 141 158 175 186 189 184 175 162 146 128 111  98  88  80  72  66
##  [1711]  61  58  57  58  60  62  64  68  74  82  94 107 118 124 123 118 109 100
##  [1729]  90  80  72  67  63  59  55  53  51  50  49  49  49  49  48  47  45  43
##  [1747]  41  40  38  36  35  34  33  33  33  33  33  33  33  32  32  32  32  33
##  [1765]  34  36  37  38  38  39  41  43  45  47  50  53  57  66  77  90 106 124
##  [1783] 141 156 167 175 179 180 181 182 184 189 195 205 215 226 234 232 227 219
##  [1801] 206 190 174 156 145 138 145 150 145 136 124 111  97  86  77  72  70  69
##  [1819]  71  73  79  88  98 107 114 114 111 107  99  90  81  73  66  60  55  50
##  [1837]  45  42  39  36  33  29  25  22  19  15  12   9   6   4   2   1   0   0
##  [1855]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1873]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1891]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1909]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1927]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1945]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   2
##  [1963]   4   7  10  13  16  18  20  20  20  20  20  20  21  22  22  22  22  22
##  [1981]  22  22  23  24  25  25  25  26  27  28  29  30  30  30  30  30  30  30
##  [1999]  30  31  32  33  33  34  34  34  34  35  36  37  38  39  39  40  40  41
##  [2017]  41  42  42  43  43  44  45  46  48  50  52  55  58  60  62  63  63  65
##  [2035]  68  72  75  77  77  76  74  71  68  65  62  59  57  55  54  53  52  50
##  [2053]  47  43  40  37  35  35  36  39  43  46  50  52  55  57  58  60  61  62
##  [2071]  65  68  72  77  83  86  88  88  87  87  87  88  89  89  89  89  88  86
##  [2089]  85  83  81  76  71  68  66  64  62  60  58  56  54  54  54  55  57  60
##  [2107]  63  66  71  76  81  87  94 100 106 111 115 119 124 131 139 148 158 167
##  [2125] 172 177 180 184 186 186 188 187 186 189 193 195 192 185 173 159 147 139
##  [2143] 134 134 140 146 150 147 140 132 124 116 111 106 103 102 102 103 105 106
##  [2161] 107 108 111 115 122 131 141 150 157 163 167 170 172 173 174 175 177 180
##  [2179] 183 187 190 192 192 191 190 190 191 191 190 188 187 187 187 188 188 192
##  [2197] 206 230 240 229 218 208 202 199 200 200 200 201 202 204 211 229 221 197
##  [2215] 168 146 129 117 108 106 107 110 114 118 123 126 128 132 137 139 140 139
##  [2233] 136 130 121 111  99  86  75  65  57  53  51  50  49  49  51  52  54  57
##  [2251]  61  65  67  66  64  61  58  55  52  50  47  44  42  40  39  39  39  39
##  [2269]  39  39  39  38  38  38  38  38  38  38  38  38  39  39  40  41  42  44
##  [2287]  46  48  50  52  55  58  60  61  61  61  62  63  65  65  63  61  58  53
##  [2305]  49  45  41  39  36  34  31  27  25  23  22  21  21  21  21  22  23  24
##  [2323]  26  28  29  30  31  33  34  36  37  38  38  38  38  38  38  39  40  41
##  [2341]  42  42  42  42  42  42  42  43  42  42  41  41  41  41  41  42  42  42
##  [2359]  42  42  41  39  38  37  36  35  35  35  37  38  39  39  38  37  36  36
##  [2377]  36  37  38  38  38  38  38  37  36  35  34  34  33  33  32  32  31  29
##  [2395]  29  28  29  29  29  30  30  31 127 127 119 113 106  99  92  88  86  84
##  [2413]  81  79  76  73  69  66  57  46  32  21  14   9   6   3   1   0   0   0
##  [2431]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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##  [2575]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2593]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   5
##  [2611]  11  17  23  29  39  48  55  67  77  99 116 132 148 163 174 184 192 196
##  [2629] 196 190 183 176 163 150 138 125 109  90  77  67  60  52  47  46  50  54
##  [2647]  58  61  70  87 103 118 133 146 162 185 206 223 235 250 268 292 322 353
##  [2665] 369 375 376 371 360 345 329 315 301 280 265 252 238 222 205 193 182 162
##  [2683] 145 134 126 120 115 108 101  98  97  96  94  91  90  92  96 100 101 102
##  [2701] 105 111 119 126 129 126 123 122 141 156 166 175 183 189 195 210 223 232
##  [2719] 238 251 266 279 291 304 304 308 327 342 353 365 375 386 389 391 389 382
##  [2737] 374 369 354 337 322 307 295 283 269 256 222 192 174 159 141 131 125 119
##  [2755] 114 117 147 173 187 191 217 245 264 276 271 257 240 211 196 188 184 184
##  [2773] 182 182 185 181 178 185 202 215 219 220 215 220 240 251 263 278 291 295
##  [2791] 311 332 351 368 379 385 380 373 368 362 360 364 369 377 383 392 402 412
##  [2809] 421 426 433 436 434 431 427 422 417 412 406 392 380 371 362 354 344 331
##  [2827] 317 304 299 298 295 281 266 253 244 237 230 227 227 231 236 241 253 253
##  [2845] 272 287 305 318 326 316 314 300 273 261 250 242 235 229 226 227 231 233
##  [2863] 231 225 204 194 183 155 136 139 141 132 120 112 109 100  92  77  69  61
##  [2881]  56  59  63  70  77  82  84  79  72  67  75  92 110 117 128 144 168 189
##  [2899] 200 194 187 174 156 139 115  98  87  80  74  68  63  59  57  58  60  61
##  [2917]  62  63  68  70  78  95 114 124 129 129 124 114 103  92  83  76  71  67
##  [2935]  63  60  58  56  55  53  52  51  50  50  49  46  45  44  43  41  39  38
##  [2953]  37  36  35  36  37  37  37  37  37  37  37  37  37  39  41  42  43  43
##  [2971]  44  46  48  50  53  56  59  63  74  86 101 120 141 162 179 186 192 195
##  [2989] 195 194 194 194 198 205 216 228 241 251 250 246 236 220 200 178 156 147
##  [3007] 153 165 169 161 149 132 113  98  85  84  83  82  81  82  83  88 100 112
##  [3025] 121 121 120 114 106  98  87  78  70  63  56  50  45  41  37  35  33  30
##  [3043]  26  23  20  17  14  11   9   6   4   2   1   0   0   0   0   0   0   0
##  [3061]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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##  [3151]   0   0   0   0   0   0   0   0   0   0   0   0   1   4   7  10  13  15
##  [3169]  17  18  18  18  18  18  20  22  23  24  24  24  24  25  25  27  28  29
##  [3187]  30  30  31  32  34  35  36  36  36  36  36  36  36  36  38  39  40  40
##  [3205]  41  41  41  41  42  43  44  45  46  46  46  47  47  47  48  48  48  48
##  [3223]  48  49  50  52  54  56  58  60  62  64  65  64  66  70  74  77  79  79
##  [3241]  78  76  73  70  67  64  62  61  59  58  58  57  54  51  47  44  42  39
##  [3259]  39  41  45  49  52  55  57  58  60  61  61  63  65  69  73  78  85  91
##  [3277]  95  96  96  94  93  94  95  96  96  96  97  96  94  94  93  91  83  78
##  [3295]  76  74  72  67  63  60  57  54  53  54  55  57  60  63  67  72  76  81
##  [3313]  87  95 102 109 114 118 121 126 135 145 156 167 173 182 188 190 190 192
##  [3331] 194 194 192 191 194 198 199 196 189 172 156 144 141 137 143 151 156 159
##  [3349] 154 145 137 129 122 115 109 105 104 104 104 105 105 105 107 110 115 122
##  [3367] 134 146 150 156 159 162 164 166 167 168 169 172 176 180 184 188 190 190
##  [3385] 188 187 188 190 190 188 186 185 185 185 187 188 196 221 260 268 257 244
##  [3403] 232 220 214 212 210 209 206 205 207 219 238 224 193 161 136 121 112 107
##  [3421] 105 106 108 113 118 121 124 126 131 135 139 141 140 137 131 122 110  97
##  [3439]  85  75  66  60  57  56  55  55  55  57  58  59  62  66  69  69  68  65
##  [3457]  62  58  55  53  51  48  45  43  42  41  41  42  42  41  40  40  39  39
##  [3475]  39  39  39  39  39  39  41  43  43  44  45  47  48  50  51  53  55  57
##  [3493]  60  61  62  62  62  62  64  66  66  65  63  61  57  53  49  45  42  40
##  [3511]  37  33  29  26  25  24  24  24  24  25  26  27  29  31  33  34  36  37
##  [3529]  39  41  43  44  45  45  45  45  45  45  46  47  48  49  49  49  49  49
##  [3547]  49  49  50  49  48  47  47  47  47  47  47  47  47  47  46  45  43  42
##  [3565]  40  38  38  38  38  40  41  42  41  40  38  38  38  38  38  38  38  37
##  [3583]  37  37  35  34  33  32  32  31  32  31  31  30  27  26  26  27  28  28
##  [3601]  29  30  31 130 130 125 119 113 108 101  97  94  90  83  77  72  68  66
##  [3619]  64  60  52  42  32  23  18  13   8   5   2   1   0   0   0   0   0   0
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##  [3799]   0   0   0   0   0   0   0   0   0   0   0   0   2   5  10  14  20  28
##  [3817]  37  45  56  70  94 110 125 139 152 161 171 179 185 185 183 174 167 152
##  [3835] 136 123 108  91  75  67  63  59  54  52  55  61  60  61  61  63  76  94
##  [3853] 106 121 131 137 156 171 188 208 226 244 269 297 321 343 358 367 368 362
##  [3871] 350 339 329 316 302 281 262 241 218 200 189 182 167 145 134 127 122 117
##  [3889] 110 104 101  99  98  95  93  93  95  99 101 102 103 106 111 118 125 128
##  [3907] 127 124 122 127 141 157 170 179 185 193 206 218 228 236 245 257 270 277
##  [3925] 285 291 304 310 327 346 358 366 375 382 385 383 379 373 370 365 356 338
##  [3943] 321 308 294 277 260 222 193 174 157 140 129 124 120 117 118 128 148 165
##  [3961] 189 228 257 270 272 258 247 220 205 193 185 181 178 175 175 176 170 169
##  [3979] 172 182 192 191 195 194 199 210 222 234 249 265 281 296 315 343 371 387
##  [3997] 399 395 381 370 358 348 349 360 369 373 387 405 415 421 424 425 426 426
##  [4015] 423 420 417 414 411 405 390 377 369 362 355 342 326 314 309 305 306 304
##  [4033] 296 279 260 251 243 239 236 236 238 240 243 247 260 274 292 305 317 319
##  [4051] 314 309 297 280 261 250 243 237 232 230 232 236 239 240 236 224 206 190
##  [4069] 176 161 148 142 136 129 135 122 117 104  95  80  69  61  60  62  66  70
##  [4087]  75  77  74  68  65  73  87 101 113 125 142 160 176 188 189 177 163 144
##  [4105] 123 103  89  80  74  70  65  61  58  57  58  60  60  61  63  66  70  79
##  [4123]  97 113 124 132 133 128 118 107  95  88  81  75  69  65  62  60  58  57
##  [4141]  55  54  52  51  51  49  47  46  45  45  43  41  39  39  38  37  38  39
##  [4159]  39  39  39  39  39  39  39  40  41  43  45  45  45  46  49  51  53  56
##  [4177]  59  61  66  77  90 105 122 141 161 181 197 206 209 208 205 204 204 208
##  [4195] 214 228 245 261 265 264 261 254 241 224 205 188 180 174 183 185 178 167
##  [4213] 153 139 125 112 102 101 101  99  98  97 100 106 114 118 117 109 103  95
##  [4231]  86  79  72  66  60  54  48  43  39  35  33  31  29  26  23  20  17  15
##  [4249]  12  10   8   5   3   1   0   0   0   0   0   0   0   0   0   0   0   0
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##  [4375]  17  20  22  23  24  24  24  24  25  26  28  30  31  32  32  32  35  37
##  [4393]  38  39  39  39  39  39  39  39  39  41  43  44  44  45  45  45  45  45
##  [4411]  47  48  49  50  50  49  50  50  50  51  51  51  50  50  51  51  53  55
##  [4429]  57  59  61  62  64  65  64  65  68  72  75  77  78  76  74  71  69  66
##  [4447]  64  62  61  60  60  60  59  57  54  49  46  44  41  41  44  48  53  56
##  [4465]  58  59  60  60  61  63  66  70  74  79  85  92  99 102 104 103 101  99
##  [4483]  99 100 101 101 102 103 103 103 104 103 102  96  89  86  84  79  76  70
##  [4501]  66  61  59  57  57  57  58  60  62  65  68  72  76  84  94 103 110 115
##  [4519] 118 121 127 137 149 161 170 176 181 184 186 187 188 190 192 192 192 194
##  [4537] 197 197 194 186 173 158 150 154 158 158 163 167 164 154 143 134 128 122
##  [4555] 117 111 108 107 107 107 108 108 107 108 111 115 121 129 138 145 150 152
##  [4573] 153 155 156 158 159 159 163 169 175 180 184 186 186 185 185 185 187 187
##  [4591] 185 184 183 183 184 186 187 195 220 259 273 265 253 242 232 228 224 222
##  [4609] 219 214 211 210 219 239 227 197 166 142 125 114 107 105 105 107 111 115
##  [4627] 117 119 120 125 130 135 137 137 136 131 121 108  95  84  74  66  61  58
##  [4645]  57  57  56  56  58  59  60  63  67  69  69  68  65  62  60  57  54  53
##  [4663]  50  47  46  46  45  45  46  44  43  43  42  42  42  42  42  42  42  41
##  [4681]  41  43  44  45  45  47  49  50  51  52  54  55  57  60  61  61  62  61
##  [4699]  61  62  64  64  64  63  62  60  57  54  50  47  44  41  37  31  27  25
##  [4717]  23  23  24  25  25  26  28  30  33  35  37  38  40  42  44  46  48  49
##  [4735]  49  48  48  49  49  49  50  52  53  54  54  54  54  54  54  54  52  51
##  [4753]  50  50  50  50  50  50  50  50  49  48  46  45  43  41  39  39  38  39
##  [4771]  41  43  43  41  40  39  38  38  38  38  38  38  38  38  37  35  33  32
##  [4789]  32  32  31  31  31  30  29  26  26  26  27  28  29  30  31  32 130 131
##  [4807] 128 123 120 115 110 107 104  97  87  77  69  65  63  62  61  57  50  43
##  [4825]  37  30  25  17  11   7   4   2   1   0   0   0   0   0   0   0   0   0
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##  [5023]  75 100 120 134 145 156 163 170 170 170 160 151 136 120 105  90  76  68
##  [5041]  64  62  60  58  62  73  72  72  68  64  63  74  91 105 116 122 127 141
##  [5059] 158 171 186 205 222 242 271 294 318 342 355 363 362 357 351 342 330 317
##  [5077] 297 271 243 213 199 189 184 176 159 142 130 123 118 112 107 103 102 101
##  [5095]  98  96  96  98 102 103 104 105 108 112 116 120 124 124 123 122 125 136
##  [5113] 150 165 176 182 189 199 211 221 231 240 249 256 263 267 273 284 293 305
##  [5131] 321 338 353 363 373 378 378 375 372 370 368 365 351 331 318 305 285 266
##  [5149] 227 196 176 159 141 133 125 123 121 120 122 134 147 178 234 273 286 283
##  [5167] 265 240 213 196 188 181 176 172 167 164 163 159 157 161 167 173 178 178
##  [5185] 179 183 193 206 218 231 249 267 286 305 338 375 402 416 411 390 370 352
##  [5203] 335 321 339 354 355 373 392 408 413 413 413 416 415 410 410 411 411 410
##  [5221] 407 393 378 371 365 358 347 334 323 317 316 316 313 308 297 280 262 254
##  [5239] 253 250 250 252 253 254 258 271 287 305 319 331 327 316 312 299 283 264
##  [5257] 252 246 241 236 234 235 239 241 242 242 237 228 212 198 188 178 165 164
##  [5275] 163 164 147 135 122 113  99  80  70  64  63  63  65  68  70  67  64  62
##  [5293]  69  85 100 113 127 141 155 168 179 183 179 166 148 129 108  90  79  72
##  [5311]  67  63  61  59  58  59  60  60  61  63  67  72  84 100 115 127 135 138
##  [5329] 135 126 117 107  97  88  81  74  70  66  64  62  60  58  56  54  53  53
##  [5347]  50  48  48  47  46  44  42  41  41  39  39  40  40  40  41  41  41  41
##  [5365]  41  41  42  44  45  46  46  47  48  51  52  55  57  60  63  70  81  94
##  [5383] 109 125 144 166 189 207 217 218 216 213 212 213 217 223 238 254 269 273
##  [5401] 274 271 266 258 246 233 218 207 201 201 200 192 184 172 159 146 134 125
##  [5419] 123 124 122 118 113 114 113 114 113 109 101  93  85  78  72  68  63  58
##  [5437]  52  46  41  37  34  32  31  28  26  23  21  18  17  14  12  11   7   5
##  [5455]   3   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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##  [5581]  23  24  24  25  26  28  30  31  32  32  33  36  38  39  39  39  40  40
##  [5599]  40  40  40  41  43  45  45  46  46  46  46  46  46  49  50  50  51  51
##  [5617]  50  51  51  51  51  52  52  51  52  52  52  55  56  57  60  61  62  64
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##  [6805]  46  46  46  46  46  46  47  47  49  51  51  51  51  50  51  52  52  52
##  [6823]  52  53  52  53  53  53  56  57  58  60  61  61  63  62  62  62  63  64
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##  [6859]  49  46  45  45  47  51  55  57  59  60  60  62  66  71  78  84  89  95
##  [6877] 101 108 112 115 116 116 114 111 110 111 111 112 113 114 116 117 118 118
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##  [6931] 176 179 182 183 185 188 195 201 201 196 191 188 185 182 187 193 201 193
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##  [7093]  55  56  58  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
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##  [7453]  83  93 107 127 139 145 153 160 173 186 198 206 219 241 266 285 300 320
##  [7471] 342 355 362 364 365 364 356 342 322 298 274 254 234 213 198 187 169 146
##  [7489] 132 124 120 116 112 109 107 106 103 102 101 103 106 107 108 110 111 114
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##  [7741]  83  79  75  69  64  61  59  57  54  52  52  52  50  47  46  45  45  43
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##  [7777]  56  59  64  69  76  83  93 105 119 136 157 179 200 214 219 215 207 200
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##  [8317]  35  29  24  22  22  25  26  26  27  29  31  35  37  38  39  41  43  45
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##  [8353]  56  53  52  51  51  51  51  51  51  51  51  51  48  46  45  44  41  40
##  [8371]  39  39  40  42  44  44  42  41  40  40  40  39  39  39  39  39  38  38
##  [8389]  35  34  33  32  32  32  31  30  30  29  28  27  26  26  27  29  32  39
##  [8407]  41  99  97 102  97  95  95  95  93  86  76  67  57  48  44  45  46  51
##  [8425]  51  53  56  57  57  56  50  43  33  23  15   8   4   1   0   0   1   2
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##  [8947]  66  63  60  57  55  54  54  52  49  48  47  47  45  46  46  47  47  47
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##  [9199]  44  44  44  44  44  44  45  47  48  48  48  48  48  48  48  49  51  52
##  [9217]  52  52  52  52  53  53  54  54  54  54  54  55  55  55  57  58  58  60
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##  [9289] 120 120 119 119 120 121 121 121 122 122 122 122 122 123 121 118 113 108
##  [9307] 104 101  99  95  92  87  85  84  83  82  88  98 108 115 119 121 121 121
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##  [9415] 211 199 182 157 140 131 126 123 120 117 113 111 109 107 104  97  91  85
##  [9433]  83  85  91 100 109 116 120 121 119 113 104  93  81  71  64  60  58  58
##  [9451]  58  58  59  59  60  60  60  61  61  61  61  61  60  60  60  60  60  60
##  [9469]  60  60  59  58  57  57  57  57  56  54  53  53  53  53  51  49  48  49
##  [9487]  50  51  50  51  52  53  54  55  56  57  58  60  60  60  60  60  60  60
##  [9505]  60  60  60  60  60  60  60  60  60  59  56  50  42  34  27  23  22  22
##  [9523]  25  26  26  27  30  32  35  37  38  39  41  43  45  48  50  50  50  48
##  [9541]  49  49  50  50  51  53  55  56  56  56  56  56  56  56  53  52  51  51
##  [9559]  51  51  51  51  51  51  51  48  46  46  44  41  40  40  40  41  43  45
##  [9577]  45  43  41  40  40  40  40  40  39  39  39  38  38  35  34  33  33  32
##  [9595]  31  31  30  30  29  28  27  27  27  28  30  33  40  43  77  74  78  74
##  [9613]  73  73  74  73  60  58  46  38  35  31  31  37  40  40  45  50  52  51
##  [9631]  52  47  46  40  32  20  11   5   1   1   2   5   7  11  11   8   5   3
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##  [9829]  40  55  62  87 101 108  95  79  72  65  63  63  62  61  62  65  75  85
##  [9847]  89 101 114 126 133 127 119 111 109 112 116 128 145 160 174 192 212 228
##  [9865] 242 260 276 289 295 305 317 332 348 358 363 365 365 365 365 363 351 326
##  [9883] 299 273 253 224 202 178 150 138 130 130 131 126 119 114 112 112 109 108
##  [9901] 107 108 110 111 112 113 114 116 118 119 121 121 121 122 129 139 149 159
##  [9919] 170 177 181 183 184 185 186 190 200 214 227 237 242 247 261 282 294 300
##  [9937] 308 317 323 334 349 356 360 364 365 366 360 346 332 318 301 286 268 255
##  [9955] 244 235 216 199 182 162 141 130 126 127 135 158 189 217 225 218 211 197
##  [9973] 184 170 158 147 139 132 130 131 130 126 124 125 125 125 126 130 137 142
##  [9991] 154 168 181 189 199 209 216 229 241 256 269 274 273 267 256 256 251 252
## [10009] 252 254 256 268 279 288 297 303 307 312 323 338 351 354 363 375 385 396
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## [10045] 305 310 316 323 338 351 354 359 361 362 363 364 363 353 336 322 311 300
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## [10099]  93 108 101  98 104 116 128 139 146 147 142 137 125 100  80  70  65  62
## [10117]  61  61  60  60  60  62  65  79 100 112 115 117 119 125 139 154 168 167
## [10135] 167 173 175 164 149 137 123 112 106 102  96  86  78  72  69  65  61  58
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## [10171]  51  52  53  54  55  56  57  58  61  64  74  88  97 104 115 124 134 146
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## [10207] 261 282 294 296 270 257 243 228 211 192 171 153 138 129 137 148 162 171
## [10225] 177 168 157 140 110  84  71  64  62  62  61  61  62  61  57  50  45  40
## [10243]  36  33  31  30  30  28  28  26  25  24  24  22  21  19  16  14  12  10
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## [10387]  24  26  27  30  32  33  34  35  37  41  42  43  45  45  46  46  46  46
## [10405]  46  46  48  49  49  49  49  49  49  49  50  52  52  53  53  53  53  54
## [10423]  54  54  55  55  55  56  56  56  57  57  58  59  60  60  60  60  60  60
## [10441]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [10459]  59  57  55  54  52  51  52  53  54  56  57  58  59  60  62  75  90 103
## [10477] 111 116 118 120 121 121 121 121 121 121 121 121 121 121 121 121 121 121
## [10495] 121 121 122 123 123 123 125 125 126 128 128 127 122 118 116 114 109 105
## [10513] 100  98  96  95  92  95 103 112 118 121 121 121 121 121 121 121 123 126
## [10531] 128 131 138 148 159 170 175 188 214 230 236 229 210 196 188 191 197 204
## [10549] 214 228 223 205 186 171 155 138 128 124 122 121 121 123 131 131 144 145
## [10567] 142 133 132 134 131 127 124 122 121 121 121 121 121 121 121 123 128 138
## [10585] 150 162 171 177 181 182 184 189 195 201 205 206 200 196 197 204 213 220
## [10603] 225 227 229 230 232 233 233 232 230 226 222 219 214 208 198 183 160 144
## [10621] 136 131 127 124 120 117 115 113 112 107  97  88  80  75  75  81  91 102
## [10639] 109 114 117 118 115 106  95  83  73  65  60  58  58  59  59  59  59  60
## [10657]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [10675]  59  60  60  59  57  56  56  56  55  53  50  50  51  51  52  52  52  53
## [10693]  54  55  56  57  58  60  60  60  60  60  60  60  60  60  60  60  60  60
## [10711]  60  60  60  60  60  57  50  42  33  26  22  21  22  25  26  27  28  30
## [10729]  32  36  38  38  39  42  43  45  48  50  50  50  48  49  50  50  50  51
## [10747]  54  55  56  56  56  56  56  56  56  53  52  51  51  51  51  51  51  51
## [10765]  51  51  48  46  46  44  42  41  41  40  41  44  45  45  43  42  41  41
## [10783]  41  40  40  40  39  39  39  38  35  34  33  33  32  31  31  30  29  29
## [10801]  28  27  27  26  28  30  33  42  45  50  47  48  49  48  50  51  51  49
## [10819]  48  38  27  23  19  18  22  26  26  33  39  41  39  41  38  36  27  21
## [10837]  15   9   4   1   2   6  13  17  23  23  17  11   6   3   1   0   0   0
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## [11017]   0   0   0   0   0   0   0   0   0   1   5  11  22  35  48  73  97 100
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## [11053] 140 131 123 120 120 121 123 130 140 158 182 203 224 245 274 285 287 294
## [11071] 303 314 330 347 358 363 365 365 365 365 365 353 330 309 287 265 238 208
## [11089] 180 159 141 137 142 143 134 124 118 115 114 112 110 110 111 112 113 114
## [11107] 115 116 117 119 120 121 121 121 122 128 138 149 159 169 177 181 182 182
## [11125] 182 182 185 195 211 227 237 242 246 257 271 284 292 300 306 308 315 328
## [11143] 341 350 358 363 365 364 357 346 335 322 309 297 280 265 251 229 205 184
## [11161] 161 142 130 124 123 124 139 166 179 192 190 181 175 164 154 145 137 133
## [11179] 132 132 136 132 129 130 128 127 129 127 124 128 131 137 148 163 175 187
## [11197] 194 199 206 216 227 239 239 232 228 225 231 236 241 243 244 245 254 259
## [11215] 264 273 277 279 282 293 306 319 331 344 357 368 380 380 376 376 376 373
## [11233] 370 367 365 365 362 349 331 318 310 306 304 303 302 304 309 317 331 348
## [11251] 352 356 358 352 356 360 363 365 357 339 321 312 303 291 277 261 251 246
## [11269] 243 243 243 243 243 243 243 233 207 188 170 147 137 137 132 117  98  79
## [11287]  71  72  72  69  66  63  61  60  60  60  60  60  66  79  83  73  76  85
## [11305] 100 113 124 126 126 122 121 116  98  79  69  64  62  62  61  60  60  60
## [11323]  60  61  73  97 111 115 117 117 120 127 129 140 152 156 170 170 166 154
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## [11359]  51  51  49  50  51  51  51  51  51  52  52  52  53  53  54  55  56  57
## [11377]  58  60  63  70  78  90 103 113 127 130 143 155 163 171 175 180 187 171
## [11395] 153 140 145 148 155 159 171 174 180 189 211 227 242 258 276 288 286 279
## [11413] 262 238 214 194 172 151 132 120 108 114 130 146 160 168 154 142 131 111
## [11431]  87  72  64  61  60  60  60  61  60  55  48  43  39  35  33  31  30  30
## [11449]  28  28  26  26  25  25  24  24  22  19  17  15  13  11  10   7   4   2
## [11467]   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [11575]   0   0   0   0   3   9  12  17  19  20  21  22  23  24  26  28  31  33
## [11593]  34  35  37  39  42  44  45  46  47  47  47  47  47  47  47  49  50  50
## [11611]  50  50  50  50  50  51  52  53  53  53  54  54  55  55  55  56  56  56
## [11629]  57  58  57  58  58  59  60  60  60  60  60  60  60  60  60  60  60  60
## [11647]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  58  57  55  54
## [11665]  53  54  55  56  57  57  58  59  60  60  73  96 107 113 118 120 121 121
## [11683] 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 123 124 124
## [11701] 125 127 128 131 135 139 141 142 138 136 134 128 120 119 117 113 110 105
## [11719] 105 110 116 120 121 121 121 121 121 121 121 121 121 122 123 129 139 149
## [11737] 160 168 179 205 225 235 232 208 194 187 187 190 194 203 209 200 187 174
## [11755] 161 145 135 128 124 122 121 121 131 143 157 162 161 156 148 144 147 141
## [11773] 133 127 123 121 121 121 121 121 121 121 122 127 137 148 160 170 177 180
## [11791] 182 186 194 202 211 213 215 208 201 203 212 220 227 232 235 236 237 238
## [11809] 238 238 236 231 225 219 214 209 205 201 190 168 153 146 140 134 130 125
## [11827] 122 120 119 117 111 101  89  79  72  69  74  85  92  98 105 110 115 116
## [11845] 109  98  85  74  65  60  58  58  59  59  59  60  60  60  60  60  60  60
## [11863]  60  60  60  60  60  60  60  60  61  61  60  60  60  60  60  60  60  59
## [11881]  59  59  59  58  55  52  51  52  53  53  53  53  54  55  56  57  57  59
## [11899]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [11917]  57  50  42  33  26  22  21  23  26  27  27  28  30  32  36  38  39  39
## [11935]  42  43  45  48  50  50  50  48  49  50  50  50  51  54  55  56  56  56
## [11953]  56  56  56  56  53  52  51  51  51  51  51  51  51  51  51  48  47  46
## [11971]  44  42  41  41  41  42  45  46  46  43  42  42  41  41  41  40  40  40
## [11989]  39  39  38  35  34  34  33  32  32  31  30  29  29  28  27  27  26  28
## [12007]  30  33  42  45  23  10  18  19  19  28  28  31  38  42  37  27  17  11
## [12025]   9  12  13  13  18  24  25  23  26  23  23  17  12   8   5   2   1   3
## [12043]  11  23  28  36  36  31  20  11   5   2   0   0   0   0   0   0   0   0
## [12061]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [12223]   0   0   0   0   0   1   5  14  27  51  78  98  91  81  73  66  62  61
## [12241]  60  60  60  71  84  97 112 124 130 139 146 159 162 155 143 133 132 129
## [12259] 130 127 124 129 146 168 190 212 231 250 267 275 286 296 308 325 345 357
## [12277] 363 365 365 365 365 365 352 335 319 300 272 248 214 188 168 157 152 159
## [12295] 159 143 130 120 117 116 114 113 112 113 114 115 115 116 117 118 119 120
## [12313] 121 121 121 121 127 137 147 158 169 176 180 182 182 182 182 185 195 211
## [12331] 227 236 242 244 250 261 271 279 291 291 289 295 307 321 336 350 359 364
## [12349] 365 364 358 351 340 327 314 300 280 261 224 202 181 157 139 129 124 122
## [12367] 121 129 143 155 161 159 154 151 145 138 133 131 133 136 138 144 134 147
## [12385] 137 132 148 136 133 126 123 123 126 133 151 166 178 183 186 190 196 202
## [12403] 203 194 200 197 199 211 225 236 240 242 242 245 248 250 255 257 257 258
## [12421] 264 282 294 308 326 341 353 367 371 372 376 380 377 378 369 366 365 360
## [12439] 348 331 317 308 304 302 299 295 296 297 306 319 336 349 345 346 335 338
## [12457] 351 362 365 361 341 325 313 306 298 285 267 256 246 243 244 244 244 243
## [12475] 243 243 240 216 197 180 166 151 138 133 127 112  94  84  81  85  78  72
## [12493]  67  62  60  60  60  60  60  61  66  73  67  65  71  82  99 110 109 105
## [12511] 101 103 106  94  81  69  63  61  61  61  60  60  60  60  60  64  80  97
## [12529] 107 111 108 113 121 124 120 122 134 145 160 158 143 134 129 125 123 121
## [12547] 118 111 106  99  92  83  72  65  61  60  57  55  54  53  53  51  52  52
## [12565]  53  53  53  53  53  53  54  54  55  56  56  57  58  59  64  75  84  95
## [12583] 108 113 131 155 170 166 169 174 178 165 161 157 153 138 128 125 127 137
## [12601] 143 154 162 171 183 202 218 231 244 259 271 266 256 230 207 188 170 150
## [12619] 130 111  96  86  88 108 124 137 143 133 124 119 105  87  73  64  61  60
## [12637]  60  60  61  60  53  46  42  38  34  32  30  30  30  28  28  27  28  27
## [12655]  28  27  27  24  21  20  18  17  15  14  11   9   6   3   0   0   0   0
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## [12763]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   2
## [12781]   8  11  16  18  20  21  22  23  24  26  28  32  33  35  36  38  40  43
## [12799]  45  46  47  48  49  49  49  49  49  49  50  51  51  51  51  51  51  51
## [12817]  52  53  53  53  54  54  54  55  56  56  56  57  58  59  59  59  59  59
## [12835]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [12853]  60  60  60  60  60  60  60  60  60  60  59  57  56  55  56  56  57  57
## [12871]  58  58  59  59  60  63  78  95 106 114 119 121 121 121 121 121 121 121
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## [12907] 150 156 161 160 158 154 146 134 142 136 129 123 115 115 118 120 121 121
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## [12943] 229 220 208 195 187 184 184 187 195 212 199 186 175 163 151 137 131 124
## [12961] 122 121 121 142 162 170 175 175 171 165 160 161 151 140 130 125 123 122
## [12979] 121 121 121 121 121 121 125 134 145 157 167 176 180 183 188 199 210 220
## [12997] 221 223 213 204 206 214 223 231 236 239 240 241 242 242 241 238 230 221
## [13015] 214 209 207 208 212 206 189 173 161 152 144 139 132 126 123 121 120 115
## [13033] 105  94  82  72  66  67  75  81  87  94 101 109 115 108  97  84  73  65
## [13051]  60  58  58  59  59  59  60  60  60  60  60  60  60  60  60  60  60  60
## [13069]  60  60  61  62  63  61  61  61  61  61  61  61  60  60  61  60  59  57
## [13087]  54  53  53  54  54  54  54  55  56  57  58  58  59  60  60  60  60  60
## [13105]  60  60  60  60  60  60  60  60  60  60  60  60  60  57  50  42  33  26
## [13123]  21  21  23  26  27  27  28  31  33  37  38  39  39  42  44  45  48  50
## [13141]  50  50  48  49  50  50  50  51  54  55  56  56  56  56  56  56  56  53
## [13159]  52  51  51  51  51  51  51  51  51  51  48  47  46  45  43  42  42  42
## [13177]  42  45  46  46  44  42  42  42  42  41  41  40  40  39  39  38  36  35
## [13195]  34  33  32  32  31  30  29  29  29  27  26  26  27  29  32  41  44   0
## [13213]   3   9  10  10  11  11  17  29  38  37  25  15   9   6   5   6   4   7
## [13231]  10  11   9  11   9  10   7   4   2   1   0   0   3  17  38  38  46  51
## [13249]  39  28  17   7   2   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [13447] 121 135 146 152 161 168 182 177 182 166 156 144 140 143 135 121 121 142
## [13465] 159 182 194 211 227 243 256 275 287 296 304 330 365 365 365 365 365 365
## [13483] 365 357 337 318 309 304 263 243 196 176 170 171 177 181 171 123 119 119
## [13501] 119 116 115 115 116 116 117 117 117 118 119 119 120 120 121 121 121 125
## [13519] 137 146 157 169 178 181 182 182 182 182 182 190 200 217 233 243 243 241
## [13537] 245 258 263 269 271 268 275 288 301 313 337 357 365 365 365 365 365 359
## [13555] 345 328 309 293 264 243 197 178 161 137 121 121 121 121 121 125 130 131
## [13573] 130 129 128 126 122 123 131 136 143 148 152 185 190 193 194 198 192 157
## [13591] 129 121 121 121 121 130 174 180 181 182 182 182 182 182 182 184 183 182
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## [18865]  82  84  83  78  72  66  60  60  60  60  60  60  60  60  60  60  60  60
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## [19045]  63  61  60  60  60  61  61  61  60  62  62  62  60  60  69  64  60  60
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## [19135]  32  34  38  39  40  40  43  44  47  50  51  51  51  48  49  51  51  51
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## [19441]  33  60  60  60  67  72  77  91 103 121 144 138 140 153 168 182 187 202
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## [19585] 192 204 218 239 256 272 295 302 303 304 268 213 182 203 218 230 257 297
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## [19621] 334 324 311 294 283 281 289 297 309 331 349 365 392 421 424 425 425 425
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## [19765]  68  68  66  60  75  85  92 100 111 121 121 109 100  98  91  78  67  60
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## [19801]  61  60  61  60 106 136 150 164 182 182 191 206 215 218 234 243 243 243
## [19819] 243 243 237 211 198 182 143 118 103  89  78  66  60  60  60  60  60  60
## [19837]  60  60  60  59  58  56  56  56  54  43  37  35  33  31  28  28  29  29
## [19855]  29  30  30  32  32  33  34  36  38  41  44  46  48  51  53  57  58  60
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## [19999]  36  38  40  43  46  49  51  54  55  57  57  56  57  57  57  57  57  57
## [20017]  57  57  57  57  58  58  58  58  58  59  59  60  60  60  60  60  60  60
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## [20359]  56  57  57  57  57  53  53  53  53  53  53  53  53  53  53  53  50  49
## [20377]  48  46  44  44  44  44  44  48  49  49  46  45  45  45  44  44  43  42
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## [21385] 202 193 185 180 178 172 160 151 146 153 162 170 175 179 181 182 182 182
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## [21475]  60  60  60  60 105  94  81  74  75  80  83  89  97 103  96  92  88  81
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## [21529]  25  22  24  28  30  30  30  31  33  35  39  40  40  40  43  45  47  50
## [21547]  51  51  51  48  50  51  51  51  51  54  56  56  56  57  57  57  57  57
## [21565]  54  53  53  53  53  53  53  53  53  53  53  50  49  49  46  45  45  45
## [21583]  45  45  48  49  49  47  46  46  46  45  44  43  42  42  41  40  39  38
## [21601]  37  36  35  34  33  32  32  31  31  28  28  28  29  29  30  31  33  35
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## [21853]  60  78 100 115 121 141 175 206 222 235 242 243 243 243 243 243 243 243
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## [21889] 320 304 285 280 295 304 304 304 304 304 304 284 271 253 243 235 238 239
## [21907] 250 249 248 245 244 243 214 191 182 168 163 151 145 138 129 121 121 121
## [21925] 121 121 121 121 121 121 134 182 180 182 182 182 182 182 182 182 184 186
## [21943] 182 203 234 239 240 241 242 243 246 272 290 304 327 344 361 364 364 365
## [21961] 365 365 365 349 316 297 276 258 258 261 252 243 238 232 234 233 218 182
## [21979] 159 133 121 121 121 121 129 148 171 187 198 215 233 243 261 291 304 304
## [21997] 304 294 274 261 259 258 278 304 310 315 313 308 299 295 295 280 265 252
## [22015] 213 216 227 234 241 274 324 358 363 364 357 342 327 312 303 302 304 310
## [22033] 338 365 389 421 426 426 426 426 426 427 424 410 397 388 373 364 367 365
## [22051] 359 356 345 343 327 313 305 297 269 254 246 240 214 182 184 183 181 178
## [22069] 176 172 178 182 185 187 185 194 212 233 243 245 264 278 263 250 243 182
## [22087] 182 196 212 229 243 241 243 243 243 208 188 182 158 143 132 123 107  79
## [22105]  68  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [22123]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [22141]  60  60  60  60  60  60  60  60  60  60  60  63  60  60  60  60  60  60
## [22159]  60  60  62  60  60  64  67  73  80  86  91  97 110 121 121 121 141 156
## [22177] 182 182 152 151 182 121  96  82  71  60  60  60  60  60  60  60  60  60
## [22195]  60  72  83  87  92  76  60  63  61  61  60  75 109 130 142 151 160 167
## [22213] 165 177 184 182 192 216 243 243 243 233 220 206 194 186 183 169 137 116
## [22231] 106  93  80  67  63  60  60  60  60  60  59  57  55  52  50  49  45  37
## [22249]  32  32  31  29  26  24  24  23  22  21  21  22  22  24  27  30  33  37
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## [22465]  79  85  94 100 105 108 103  96  86  78  69  63  61  60  60  60  60  60
## [22483]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  64  65  65  64
## [22501]  60  61  76  87  96 103 110 121 121 121 121 121 122 123 124 123 122 121
## [22519] 122 121 121 139 142 160 170 182 182 182 182 182 182 182 182 180 180 182
## [22537] 182 182 181 182 160 132 122 121 121 121 121 121 121 121 121 121 121 121
## [22555] 127 144 152 159 167 176 179 180 182 193 203 219 231 241 243 242 245 244
## [22573] 235 231 235 242 243 243 243 243 243 241 236 231 225 217 203 195 191 188
## [22591] 183 172 163 159 162 168 173 177 180 182 182 182 182 182 182 182 183 189
## [22609] 196 200 192 198 208 219 230 239 242 243 243 244 251 261 266 255 252 246
## [22627] 240 231 226 220 223 233 226 210 197 191 188 187 186 189 188 184 172 173
## [22645] 156 140 124 107  91  76  76  86  92  93  99 103 114 119 120 115 124 124
## [22663] 121  97  71  60  60  60  60  60  60  60  60  60  60  60  60  60  60  65
## [22681]  81  70  67  74  82  90 103 116 121 110 104 100  92  78  75  73  72  70
## [22699]  68  64  61  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [22717]  60  60  60  60  60  60  60  60  60  57  50  42  34  25  23  25  28  30
## [22735]  30  30  31  33  36  39  40  40  40  43  45  47  50  51  51  51  48  50
## [22753]  51  51  51  51  54  56  56  56  57  57  57  57  57  54  53  53  53  53
## [22771]  53  53  53  53  53  53  50  49  49  46  45  45  45  45  45  49  49  50
## [22789]  47  46  46  46  45  45  44  43  42  41  40  39  38  37  37  36  35  34
## [22807]  33  32  32  31  31  29  28  26  26  27  29  31  35   0   0   0   0   0
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## [23041]   0   0   0   0   0   0   1   0   6  18  26  31  43  55  60  86 111 120
## [23059] 130 168 188 211 226 237 242 243 243 243 243 243 243 243 243 243 243 243
## [23077] 243 252 259 273 291 294 300 308 319 338 362 364 359 328 304 269 259 279
## [23095] 292 304 304 304 304 304 304 296 281 265 251 242 253 258 254 249 246 244
## [23113] 243 213 182 182 175 167 159 154 146 138 130 121 121 121 121 121 121 121
## [23131] 121 121 155 182 182 182 182 182 182 182 182 182 182 183 182 215 226 233
## [23149] 238 241 243 251 266 286 304 319 333 351 365 365 365 365 366 366 365 345
## [23167] 332 304 288 302 307 273 264 243 243 261 254 245 205 182 163 143 121 121
## [23185] 121 121 121 141 163 182 202 223 235 243 304 302 304 304 304 304 304 304
## [23203] 292 299 315 318 326 328 324 322 309 310 304 289 281 262 238 233 235 239
## [23221] 243 304 365 365 365 365 365 350 334 313 304 304 304 324 365 377 415 426
## [23239] 426 426 427 427 428 427 426 414 409 395 384 371 367 365 365 365 365 337
## [23257] 317 307 304 275 255 245 244 243 182 182 182 178 175 169 154 161 170 182
## [23275] 182 178 182 191 216 232 243 281 300 278 256 243 182 182 185 191 206 219
## [23293] 232 238 243 233 192 179 164 154 144 134 124 108  81  69  64  61  60  60
## [23311]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
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## [23347]  60  60  60  60  60  60  74  76  64  60  60  60  60  60  60  61  61  60
## [23365]  65  68  71  77  83  88  94 103 106 115 124 140 154 166 182 176 175 164
## [23383] 121 105  91  79  69  60  60  60  60  60  60  60  60  60  60  75  72  73
## [23401]  66  63  61  61  60  60  60  92 121 131 134 138 137 142 159 165 174 179
## [23419] 182 217 243 243 224 209 193 182 184 182 183 182 140 121 106  95  83  74
## [23437]  65  60  60  60  60  58  55  52  49  47  44  40  35  30  28  27  25  22
## [23455]  19  17  15  11  11  10  10  11  15  20  24  28  34  41  46  51  56  59
## [23473]  60  60  50  42  35  27  21  11   0   1   0   1   0   0   0   0   0   0
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## [23581]   0   0   0   0   0   0   0   0   2   4   7  10  14  17  19  22  24  28
## [23599]  32  34  36  39  41  44  47  51  54  57  60  60  60  60  60  60  60  60
## [23617]  60  60  60  60  59  59  59  59  59  60  60  60  60  60  60  60  60  60
## [23635]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [23653]  60  60  61  62  64  67  68  69  71  73  75  78  83  88  93 100 107 116
## [23671] 117 112 105  93  81  70  63  61  60  60  60  60  60  60  60  60  60  60
## [23689]  60  60  60  60  60  60  60  60  60  60  61  61  60  61  61  70  78  85
## [23707]  90  94 104 113 114 119 121 121 121 122 122 121 121 121 121 121 121 121
## [23725] 138 154 171 182 181 182 182 182 182 182 182 182 182 182 182 182 182 160
## [23743] 132 121 121 121 121 121 121 121 121 121 121 121 121 124 134 140 143 153
## [23761] 160 167 174 179 181 182 195 217 235 243 243 253 250 243 243 243 243 242
## [23779] 243 243 243 243 243 242 241 236 229 219 209 203 199 193 183 175 170 169
## [23797] 172 175 178 181 182 182 182 182 182 182 182 187 198 208 213 213 218 223
## [23815] 229 236 241 243 243 243 246 261 276 281 273 262 257 251 244 242 239 240
## [23833] 242 239 226 216 206 205 205 199 198 193 188 183 178 167 151 136 121 108
## [23851]  96  92 106 111 115 124 136 144 146 147 155 144 143 132 121  96  60  60
## [23869]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  62  60  60  77
## [23887]  90 112 121 115 115 115 113 103  85  81  79  78  75  72  67  63  61  60
## [23905]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [23923]  60  60  60  60  57  50  42  34  25  23  25  29  30  30  30  31  33  37
## [23941]  40  40  41  41  44  45  47  50  51  51  51  48  50  51  51  51  51  54
## [23959]  56  56  56  57  57  57  57  57  54  53  53  53  53  53  53  53  53  53
## [23977]  53  50  49  49  47  46  46  46  46  47  49  50  50  48  47  47  46  46
## [23995]  45  44  44  43  42  41  40  39  38  38  37  36  35  34  33  33  32  32
## [24013]  30  29  27  27  28  30  32  36   0   0   0   0   0   0   0   1   3   3
## [24031]   4   4   4   4   3   3   2   1   0   0   0   0   0   0   0   0   0   0
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## [24247]   0   0   0   0   0  10  16  32  49  60  86 121 119 138 170 182 201 223
## [24265] 237 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 259 261
## [24283] 263 277 291 304 326 348 365 365 334 304 243 247 263 278 292 304 304 304
## [24301] 304 305 305 304 289 278 276 271 268 261 251 246 244 227 214 207 196 188
## [24319] 178 170 168 160 151 143 134 123 121 121 121 121 121 121 121 129 154 174
## [24337] 182 182 182 181 180 181 182 182 182 192 210 220 229 238 242 243 250 269
## [24355] 282 298 308 321 340 359 365 365 365 366 367 367 368 367 350 335 349 350
## [24373] 298 309 306 288 292 274 250 222 207 192 172 152 126 121 121 121 121 140
## [24391] 164 190 213 228 243 284 304 304 304 304 304 304 304 304 309 323 330 340
## [24409] 346 344 343 340 336 324 314 308 294 263 241 240 241 243 273 297 350 365
## [24427] 365 367 367 357 344 318 309 304 316 341 365 411 426 426 426 427 428 429
## [24445] 429 427 426 426 418 395 376 367 365 351 345 332 331 315 307 304 276 254
## [24463] 243 243 213 207 182 182 177 173 162 139 148 155 158 160 170 177 182 202
## [24481] 222 243 304 304 304 257 243 182 183 182 182 182 208 225 233 243 196 179
## [24499] 166 156 145 137 131 122  96  75  68  63  60  60  60  60  60  60  60  60
## [24517]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [24535]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [24553]  79  91 101  84  60  60  60  60  60  60  60  60  60  60  60  63  66  68
## [24571]  69  68  60  60  83 119 137 147 157 168 182 174 148 134 117 103  91  79
## [24589]  64  60  60  60  60  60  60  60  60  60  60  63  62  61  60  60  60  60
## [24607]  60  60  69  77 103 106 106 106 121 140 151 161 170 178 190 222 243 217
## [24625] 197 182 172 167 170 171 153 140 126 118 111  95  82  71  63  60  60  59
## [24643]  56  53  50  46  44  40  35  32  28  23  20  17  13   8   6   2   0   0
## [24661]   0   0   0   4  10  16  21  29  38  44  51  59  60  60  60  45  35  27
## [24679]  19  13   3   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [24787]   0   0   0   2   4   7  10  14  17  19  22  24  28  32  34  37  39  42
## [24805]  44  48  52  55  57  59  60  60  60  60  60  60  60  60  60  60  60  60
## [24823]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
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## [24859]  68  71  73  76  78  81  85  91  96 101 107 115 121 121 121 114  99  85
## [24877]  70  63  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [24895]  60  60  60  60  60  60  60  60  60  60  66  70  73  75  74  85  94 100
## [24913] 108 111 113 117 121 120 120 121 121 121 121 121 121 121 129 157 170 179
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## [24967] 182 195 215 236 255 272 286 269 252 243 244 243 243 243 243 243 241 242
## [24985] 243 243 242 238 232 223 216 211 204 194 187 179 176 177 178 179 182 182
## [25003] 183 182 182 182 182 183 194 210 221 228 232 239 240 240 241 242 242 243
## [25021] 243 248 274 286 293 290 281 275 264 254 258 259 255 252 249 241 233 225
## [25039] 224 220 212 205 194 190 184 180 170 157 142 131 121 111 113 123 131 139
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## [25075]  60  60  60  60  60  60  60  60  60  60  60  63  64  76  94 106 113 117
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## [25129]  50  42  34  26  22  25  29  31  31  31  31  34  37  40  41  41  41  44
## [25147]  45  48  50  51  51  51  48  50  51  51  51  51  54  56  56  57  57  57
## [25165]  57  57  57  54  53  53  53  53  53  53  53  53  53  53  51  50  50  47
## [25183]  46  46  46  46  48  50  50  51  48  48  47  47  46  46  45  44  44  43
## [25201]  42  41  40  39  39  38  37  35  35  34  34  33  33  32  30  29  29  30
## [25219]  32  33  37   0   0   0   0   0   0   0   0   0   0   1   1   1   1   1
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## [25471] 243 243 243 243 243 243 243 243 243 243 239 243 243 243 259 274 290 312
## [25489] 334 349 365 332 304 243 243 252 266 282 293 300 304 304 306 307 304 304
## [25507] 298 300 304 281 267 249 243 243 231 222 218 214 209 198 182 182 174 165
## [25525] 156 146 133 121 121 121 121 121 121 121 121 133 153 168 182 176 173 176
## [25543] 179 181 182 182 188 206 217 228 243 242 243 248 262 274 288 304 311 328
## [25561] 345 356 365 365 367 368 369 374 376 378 381 385 381 365 365 365 304 309
## [25579] 304 256 233 227 220 199 182 145 121 121 121 121 121 151 186 202 216 229
## [25597] 243 263 282 289 304 304 304 304 304 315 330 341 355 365 365 365 365 365
## [25615] 349 339 327 315 294 270 243 243 264 272 290 314 365 365 372 377 381 369
## [25633] 349 334 333 334 349 365 409 426 426 427 428 430 432 431 429 427 426 405
## [25651] 395 371 365 337 324 314 300 295 294 289 272 253 243 245 243 213 196 190
## [25669] 184 179 177 155 128 128 130 131 139 151 165 176 187 204 223 243 294 274
## [25687] 233 195 188 183 182 182 197 212 230 225 210 192 167 153 139 128 129 124
## [25705] 111  71  63  61  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [25723]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [25741]  60  60  60  60  60  60  60  60  60  60  60  60  79  98 114 119 103  66
## [25759]  60  60  60  60  60  60  60  60  60  60  60  62  63  63  60  62  60  60
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## [26173] 304 297 304 283 264 245 243 241 243 243 243 235 239 243 243 243 243 243
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## [26317]  60  60  60  60  60  60  60  60  60  60  60  60  60  51  43  34  26  18
## [26335]  25  30  31  31  31  31  34  37  40  41  41  41  44  46  47  50  51  51
## [26353]  51  48  50  51  51  51  51  54  56  56  57  57  57  57  57  57  54  53
## [26371]  53  53  53  53  53  53  53  53  53  51  50  50  48  47  47  47  47  48
## [26389]  50  51  51  49  48  48  48  47  46  46  45  44  43  42  42  41  40  39
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## [26659]  45  60  87 121 148 182 200 205 223 243 243 243 243 243 243 243 243 243
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## [26695] 243 243 243 249 269 286 298 304 309 313 317 318 317 320 322 311 305 290
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## [26731] 121 121 121 121 121 121 121 137 150 155 155 164 170 177 181 182 182 186
## [26749] 198 206 216 231 243 243 245 249 260 273 285 298 314 332 344 356 365 368
## [26767] 370 372 382 389 397 405 416 415 412 397 384 372 345 304 278 254 249 245
## [26785] 229 198 164 131 121 121 121 121 129 160 188 200 212 224 236 252 268 283
## [26803] 294 300 304 304 317 332 345 360 364 365 369 375 377 372 359 347 334 317
## [26821] 308 292 281 282 288 294 302 351 365 380 386 394 381 365 350 349 350 353
## [26839] 365 406 426 426 428 430 433 435 434 429 426 412 397 378 361 338 324 304
## [26857] 293 277 266 264 259 252 250 245 243 243 214 194 185 184 183 182 167 135
## [26875] 121 121 121 121 128 146 158 166 182 202 221 243 223 182 188 181 186 183
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## [26911]  60  60  60  60  60  60  60  60  72  68  60  60  60  60  60  60  60  60
## [26929]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
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## [26983] 145 140 131 128 125 122 115  98  75  60  60  60  60  59  59  59  59  59
## [27001]  59  60  59  59  59  59  59  59  59  60  60  60  60  60  60  60  77 121
## [27019] 129 138 144 149 154 166 171 167 152 131 119 122 128 128 129 126 123 122
## [27037] 122 107  86  65  61  60  60  56  52  49  45  42  38  32  26  22  18  14
## [27055]   9   3   0   0   0   0   0   0   0   0   0   0   0   0   0  13  25  33
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## [27199]  22  24  28  32  35  37  40  42  45  49  53  56  58  60  62  62  60  60
## [27217]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [27235]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [27253]  60  60  60  60  60  61  64  68  71  75  78  82  85  88  93  98 101 105
## [27271] 109 113 119 121 121 121 101  87  78  72  71  72  73  75  77  80  81  81
## [27289]  69  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [27307]  60  60  61  60  61  60  69  80  89  93  94  99 105 111 115 119 121 121
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## [27397] 217 204 182 188 182 182 182 187 188 182 182 182 182 182 182 224 243 242
## [27415] 259 273 274 266 254 243 243 243 243 243 249 270 287 300 304 304 302 296
## [27433] 296 304 278 269 263 255 249 246 244 243 239 232 234 219 203 191 189 185
## [27451] 171 152 162 152 172 174 169 165 169 182 182 182 182 182 182 182 168 145
## [27469] 126 110  66  60  60  60  60  60  60  60  69  67  60  60  60  60  60  60
## [27487]  60  60  60  60  79  87  97 107 113 118 110 103  99  95  92  88  84  78
## [27505]  72  68  65  62  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [27523]  60  60  60  60  60  60  60  60  52  43  35  26  18  28  31  32  32  32
## [27541]  32  35  37  41  41  41  41  44  46  48  51  51  51  51  48  51  51  51
## [27559]  51  51  55  56  56  57  57  57  57  57  56  54  53  53  53  53  53  53
## [27577]  53  53  54  54  51  51  50  48  47  47  47  47  49  51  51  51  49  48
## [27595]  48  48  47  47  46  45  45  44  43  42  42  41  40  39  38  37  37  36
## [27613]  35  35  34  33  33  32  32  32  33  35  38   0   0   0   0   0   0   0
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## [27865] 161 182 182 182 208 237 243 243 243 243 243 243 243 243 243 243 243 243
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## [27901] 285 304 305 316 322 331 340 352 365 356 320 308 304 282 271 259 243 243
## [27919] 243 243 260 255 243 227 208 192 182 168 153 139 132 126 121 121 121 121
## [27937] 121 121 121 133 135 139 153 164 174 180 182 182 182 185 188 191 191 182
## [27955] 213 224 236 243 255 267 280 299 317 331 348 365 369 371 376 387 398 410
## [27973] 426 423 426 426 426 410 395 380 365 297 277 267 255 245 243 176 153 138
## [27991] 121 121 121 121 131 161 182 194 206 215 225 243 259 269 277 291 304 309
## [28009] 325 338 352 365 365 373 386 398 400 390 365 353 337 326 316 304 304 304
## [28027] 304 316 339 365 390 405 418 401 383 372 362 363 362 362 382 426 426 432
## [28045] 439 445 450 446 427 418 401 381 365 348 326 304 293 276 252 244 242 246
## [28063] 245 244 245 243 229 209 188 180 176 175 172 153 135 128 123 121 119 119
## [28081] 128 140 134 157 171 192 194 176 174 175 177 179 189 210 236 241 243 192
## [28099] 182 170 152 138 130 123 122  82  62  62  61  60  60  60  60  60  60  60
## [28117]  60  63  75  91  94  81  77  70  74  69  64  60  60  60  60  60  60  60
## [28135]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [28153]  60  60  86 121 121 121  88  70  64  61  60  60  60  60  60  60  60  60
## [28171]  60  60  60  60  60  60  60  70  88 121 103 111 121 126 124 121 124 123
## [28189] 122 121 113  89  60  60  60  60  59  59  59  59  59  59  59  59  59  59
## [28207]  59  59  59  59  60  60  60  60  60  60  60  82 101 121 128 131 133 135
## [28225] 140 136 134 121 111 103  98  81  60 121 121 121 106  91  81  68  69  60
## [28243]  60  60  56  52  48  45  41  37  31  24  19  14   9   5   0   0   0   0
## [28261]   0   0   0   0   0   0   0   0   0   0   2  13  19  24  30  27  19   7
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## [28387]   0   0   0   0   0   0   2   4   8  12  15  17  20  22  25  29  33  35
## [28405]  38  41  43  48  52  54  58  60  64  68  71  61  60  60  60  60  60  60
## [28423]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [28441]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [28459]  61  64  69  73  75  78  81  84  87  91  95  98 101 105 109 116 121 121
## [28477] 110 102  94  88  86  87  89  92  97 102 111 111 111  96  87  73  65  60
## [28495]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [28513]  60  60  68  79  82  83  88  97 106 113 121 121 121 121 121 121 147 163
## [28531] 182 182 181 176 179 182 182 182 182 182 182 182 182 178 159 143 126 123
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## [28585] 192 189 213 229 243 236 231 234 241 243 243 243 238 236 233 221 209 207
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## [28639] 260 253 249 245 243 242 242 243 243 222 212 209 200 190 185 183 183 182
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## [28675]  60  60  60  60  77  88  94  85  70  60  60  60  60  60  60  60  60  68
## [28693]  78  90 102 111 118 117 110 105 101  97  93  88  81  75  70  65  61  61
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## [28729]  60  60  60  52  43  35  26  18  28  31  32  32  32  32  35  38  41  41
## [28747]  41  41  44  46  48  51  51  51  51  49  51  51  51  52  52  55  56  56
## [28765]  57  57  57  57  57  56  54  54  54  54  54  54  54  54  54  54  54  51
## [28783]  51  51  48  48  48  48  48  49  51  51  52  49  49  49  49  48  47  46
## [28801]  46  45  44  43  43  42  41  41  40  39  38  38  37  36  36  35  34  34
## [28819]  33  32  32  33  35  38   0   0   0   0   0   0   0   0   0   0   0   0
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## [29107] 333 347 365 363 358 311 306 299 295 296 290 283 294 301 292 292 291 267
## [29125] 243 227 208 188 179 163 147 138 130 125 122 121 121 121 121 121 121 121
## [29143] 124 143 161 179 182 182 182 182 182 183 183 182 184 183 202 214 229 240
## [29161] 249 261 287 303 311 336 348 357 361 367 382 396 411 426 426 426 426 426
## [29179] 426 418 403 385 353 297 282 268 251 236 208 175 160 144 129 121 121 121
## [29197] 131 152 172 188 191 193 215 235 256 261 275 288 302 317 332 347 365 365
## [29215] 377 394 414 426 426 394 365 348 338 331 328 325 324 324 333 349 365 396
## [29233] 426 425 420 402 393 386 374 365 364 380 411 426 445 461 473 487 487 426
## [29251] 408 390 365 367 347 325 304 294 278 263 244 237 227 213 213 213 206 192
## [29269] 182 178 169 156 153 148 142 133 127 123 121 117 113 113 121  93 134 132
## [29287] 143 153 153 160 160 165 170 187 203 215 243 182 185 170 160 147 138 128
## [29305] 121 100  73  60  61  60  60  60  60  60  60  60  60  60  69  97 121 121
## [29323] 105 119  97 117  94  81  69  60  60  60  60  60  60  60  60  60  60  60
## [29341]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  65  71  79  91
## [29359]  92  76  64  62  61  60  60  60  60  60  60  60  60  60  60  60  60  60
## [29377]  60  60  60  63  62  72  79  79  91 107 118 121 122 122 122 121 109  80
## [29395]  65  60  60  59  58  58  58  58  59  59  59  59  59  59  59  59  59  59
## [29413]  60  60  60  60  60  60  75  87  95  98  91 101  91 111 106 108  99  92
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## [29611]  55  59  60  62  66  63  61  60  60  60  60  60  60  60  60  60  60  60
## [29629]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
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## [31807]  58  58  58  58  58  59  59  59  60  60  60  60  60  60  60  60  61  58
## [31825]  57  57  58  59  60  60  67  68  66  60  56  53  55  57  60  55  50  51
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## [32005]  29  32  35  38  40  42  46  50  53  55  57  58  59  60  60  60  60  60
## [32023]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
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## [32059]  60  60  60  61  63  65  67  68  70  71  72  74  73  73  74  75  82  87
## [32077] 100 112 121 121 121 120 120 120 121 121 124 137 151 170 180 179 182 172
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## [32311]  70  60  60  60  65  64  61  60  60  60  60  60  60  60  60  60  60  60
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## [32347]  39  41  42  42  42  45  47  50  51  52  52  52  49  51  52  52  52  52
## [32365]  55  56  57  57  57  57  57  57  56  54  54  54  54  54  54  54  54  54
## [32383]  54  54  52  52  52  49  49  49  49  49  50  52  53  53  51  50  51  50
## [32401]  49  49  48  48  47  46  45  45  44  44  43  42  42  41  40  39  39  39
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## [39223]  50  53  55  56  58  59  60  60  60  60  60  60  60  60  60  60  60  60
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## [39547]  35  35  35  35  35  38  42  43  43  43  43  46  48  50  52  52  52  52
## [39565]  50  52  52  52  52  52  55  56  57  57  57  57  57  57  56  55  55  55
## [39583]  55  55  55  55  55  55  55  55  54  54  54  52  52  52  52  52  54  54
## [39601]  55  55  54  54  54  53  53  52  51  51  50  49  48  48  47  46  46  45
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## [40123]  67  64  62  60  60  60  60  93 110 121 121 152 182 182 164 142 121 115
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## [40231]  32  27  22  15   8   3   3   3   9   9  11  10  10   9   9   8   8   6
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## [40429]  58  59  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
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## [40753]  38  42  43  43  43  43  46  48  51  52  52  52  52  50  52  52  52  52
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## [46747]  53  48  40  31  28  36  37  37  37  37  38  40  43  44  44  45  45  48
## [46765]  49  51  52  53  53  53  51  53  53  53  53  53  56  57  57  57  57  57
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## [48835]  50  51  53  54  55  55  56  56  57  58  58  58  58  59  59  59  59  60
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## [49735] 121 131 170 188 218 243 267 294 304 304 304 304 304 268 243 177 155 138
## [49753] 121 104  87  64  61  61  60  60  60  60  60  60  60  60  60  60  60  60
## [49771]  60  60  60  60  60  60  60  60  60  60  60  60  65  87 116 119 121 121
## [49789] 118  98  73  60  60  61  60  60  60  60  60  60  60  60  60  60  60  60
## [49807]  60  60  60  56  52  48  45  41  35  30  27  24  20  17  13   8   6   4
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## [50005]   0   0   0   0   0   0   2   5   8  10  12  14  16  17  20  23  25  27
## [50023]  29  31  33  36  38  39  41  42  43  45  46  47  49  49  50  52  53  53
## [50041]  54  55  56  56  57  58  58  58  58  59  59  60  60  60  60  60  60  60
## [50059]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [50077]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [50095]  60  60  60  60  60  60  60  67  72  78  85  92  99 105 111 115 119 121
## [50113] 121 121 128 131 155 176 181 182 189 204 214 223 210 197 182 152 121 121
## [50131] 121 123 124 121 123 121 122 121 122 121 121 121 105 101  99  98  96  96
## [50149]  95  96  97  98 100 103 106 113 121 122 121 131 136 138 127 121 121 136
## [50167] 134 121 149 140 137 133 128 121 121 121 121 121 121 121 129 121 126 121
## [50185] 121 121 121 121 121 121 121 121 121 121 121 129 151 165 182 154 134 121
## [50203] 133 141 155 163 171 178 180 181 181 182 182 182 193 208 213 223 235 243
## [50221] 243 258 288 289 271 249 243 243 243 243 243 243 243 243 243 243 243 243
## [50239] 246 274 297 304 304 300 303 304 310 316 287 253 233 201 182 174 161 149
## [50257] 142 130 121 121 121 124 129 125 121 121 122 122 121 121 121 121 121 121
## [50275] 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121
## [50293] 121 121 121 121 121 121 121 121 121 121 121 121 137 147 149 145 131 125
## [50311] 123 122 122 121 121 121 121 121 121 111  99  83  71  60  62  69  72  92
## [50329] 112 121 121 121 118  84  74  70  68  65  64  62  60  60  60  60  60  60
## [50347]  60  60  60  54  51  41  31  30  37  38  38  38  38  39  41  44  45  45
## [50365]  45  45  48  49  52  53  53  53  51  52  53  53  53  53  53  56  57  57
## [50383]  57  57  57  57  57  57  57  57  57  57  57  57  57  57  57  57  57  57
## [50401]  56  56  56  56  56  56  57  57  58  58  58  58  59  59  58  58  57  56
## [50419]  56  55  54  53  53  52  52  51  49  49  48  48  47  46  46  45  44  44
## [50437]  43  43  44  44  46  48   0   0   0   0   0   0   0   0   0   0   0   0
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## [50689]   0   0   0   0   0   0  10  40  60  65  71  78  87  99 110 116 121 132
## [50707] 149 170 182 182 157 142 121 122 123 152 182 211 234 251 270 290 278 267
## [50725] 250 245 252 280 298 308 308 315 323 331 343 354 360 365 365 365 365 365
## [50743] 365 365 365 365 352 328 314 304 264 243 251 242 227 207 228 208 190 172
## [50761] 138 121 121 121 121 121 121 121 121 121 128 134 140 150 160 167 174 182
## [50779] 182 182 182 182 189 193 196 196 202 206 206 204 198 205 213 218 229 237
## [50797] 243 259 273 294 310 326 339 351 365 375 389 405 419 426 426 426 426 428
## [50815] 432 434 430 416 395 374 350 319 294 279 272 276 289 292 272 257 243 224
## [50833] 198 172 152 130 121 121 126 157 182 186 189 190 189 188 183 183 182 182
## [50851] 182 182 182 182 183 182 182 190 196 199 212 227 237 241 243 254 274 294
## [50869] 304 319 331 356 370 370 369 367 366 366 357 321 309 305 304 304 302 302
## [50887] 304 308 311 309 304 294 281 273 266 263 261 252 243 244 243 243 243 243
## [50905] 243 243 243 243 243 243 243 235 228 221 214 206 196 182 182 182 182 167
## [50923] 154 142 121 121 121 121 132 131 126 122 121 121 121 126 141 163 182 210
## [50941] 243 255 279 304 304 304 304 280 267 243 197 158 139 121 106  89  67  60
## [50959]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [50977]  60  60  60  60  60  60  60  68  89  98 121 121 121 121 121 101  82  60
## [50995]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  56  52
## [51013]  49  45  42  37  32  29  26  23  19  16  12  10   8   6   3   1   0   0
## [51031]   0   0   0   0   0   0   0   0   0   1   1   1   0   0   0   0   0   0
## [51049]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [51193]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [51211]   0   2   5   8  10  12  14  16  17  20  23  25  27  29  31  33  36  37
## [51229]  39  40  41  42  44  46  46  47  48  49  51  52  53  53  54  55  55  56
## [51247]  57  57  58  58  58  59  59  60  60  60  60  60  60  60  60  60  60  60
## [51265]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [51283]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [51301]  60  60  65  69  72  78  85  92  99 106 113 119 121 121 121 121 121 135
## [51319] 164 178 182 182 182 182 197 198 192 182 151 121 117 121 121 121 122 120
## [51337] 121 121 121 121 121 121 121 110 107 105 105 104 104 103 104 106 107 108
## [51355] 110 113 119 128 133 141 150 158 163 167 142 149 160 169 163 166 165 151
## [51373] 145 140 129 121 135 133 121 131 145 156 171 158 131 121 121 121 121 121
## [51391] 121 121 121 121 121 121 121 136 147 142 142 121 123 121 131 142 151 162
## [51409] 168 175 179 181 182 182 182 182 182 182 182 222 243 239 274 304 304 304
## [51427] 262 243 243 243 243 243 243 243 243 243 243 243 243 252 274 291 302 304
## [51445] 304 304 304 311 307 304 273 243 208 190 182 172 165 164 159 140 121 121
## [51463] 131 141 135 126 123 122 121 121 121 121 121 121 121 121 121 121 121 121
## [51481] 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121
## [51499] 121 121 121 121 121 121 121 121 128 129 129 122 121 121 121 121 121 121
## [51517] 121 121 121 121 110  95  77  60  62  60  61  60  60  81 103 121 111  98
## [51535]  86  76  71  69  66  64  62  60  60  60  60  60  60  60  60  60  55  52
## [51553]  41  32  30  37  38  38  38  38  39  42  44  45  45  45  45  48  49  52
## [51571]  53  53  53  52  52  53  53  53  53  53  56  57  57  57  57  57  57  57
## [51589]  57  57  57  57  57  57  57  57  57  57  57  57  57  57  57  57  57  57
## [51607]  57  57  58  58  58  59  59  59  59  59  58  58  57  56  55  54  54  53
## [51625]  53  52  51  50  49  49  48  47  46  46  45  45  44  44  43  43  43  45
## [51643]  48   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [51697]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [51715]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [51733]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [51751]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [51769]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [51805]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [51823]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [51841]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [51859]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [51877]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [51895]   0   5  27  44  60  66  73  81  94 106 112 118 121 148 175 180 182 150
## [51913] 121 130 122 121 155 182 206 219 230 243 258 258 253 243 243 243 264 278
## [51931] 284 297 304 314 324 338 351 359 365 365 365 365 365 365 365 365 365 365
## [51949] 365 341 323 304 288 276 271 263 243 246 243 215 182 162 137 121 121 121
## [51967] 121 121 121 121 121 128 134 140 148 157 164 171 182 182 182 182 182 182
## [51985] 184 185 182 188 191 191 189 182 191 200 203 214 226 236 243 256 284 304
## [52003] 316 330 341 351 365 371 382 396 409 426 426 426 430 439 448 445 436 426
## [52021] 402 381 365 365 304 298 300 314 312 304 283 263 243 219 195 182 155 121
## [52039] 121 121 137 158 182 182 182 182 181 180 181 181 182 182 182 182 182 182
## [52057] 200 208 214 236 243 232 232 243 243 265 275 298 312 327 338 346 360 374
## [52075] 374 371 367 365 365 358 322 312 307 305 304 295 294 297 302 305 305 305
## [52093] 302 292 288 284 283 278 266 256 250 244 243 243 243 243 243 243 243 243
## [52111] 243 243 236 230 225 220 216 206 192 182 182 182 178 172 175 143 128 121
## [52129] 133 138 135 128 122 122 121 123 131 141 161 182 199 224 243 261 290 304
## [52147] 296 282 268 249 233 194 161 140 121 105  90  68  60  60  60  60  60  60
## [52165]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [52183]  60  60  69  77  83  93 112 121 121 121 121 101  88  73  60  60  60  60
## [52201]  60  60  60  60  60  60  60  60  60  60  60  56  53  49  46  43  39  35
## [52219]  32  29  25  22  19  16  14  12  10   7   5   1   0   0   0   2   2   2
## [52237]   1   2   2   2   2   2   1   0   0   0   0   0   0   0   0   0   0   0
## [52255]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [52273]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [52291]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [52309]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [52327]   0   0   0   0   0   0   2   3   3   0   0   0   0   0   0   0   0   0
## [52345]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [52363]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [52381]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [52399]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   2   5   8  10
## [52417]  12  14  16  18  21  23  25  27  29  30  33  35  37  38  39  41  42  43
## [52435]  45  46  46  47  48  49  51  52  53  53  54  54  56  56  57  57  58  58
## [52453]  59  59  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [52471]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [52489]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  62  63  64
## [52507]  70  78  86  93 101 111 119 121 121 121 121 121 134 158 182 182 182 182
## [52525] 181 185 189 188 182 151 121 111 121 121 121 121 117 118 119 120 120 121
## [52543] 121 121 116 113 112 112 111 112 111 111 112 113 114 116 118 120 135 146
## [52561] 157 170 182 182 181 182 176 182 180 182 182 182 171 164 164 158 161 163
## [52579] 182 163 155 165 182 181 183 161 148 121 131 121 121 121 121 121 121 121
## [52597] 121 121 121 124 126 122 123 122 122 121 131 140 154 162 171 178 180 182
## [52615] 182 182 182 182 182 187 201 212 226 240 274 284 269 257 250 245 243 243
## [52633] 243 243 243 243 243 243 243 243 256 276 299 303 303 304 304 294 288 301
## [52651] 304 270 243 202 182 186 181 178 182 182 161 148 121 149 154 144 128 124
## [52669] 122 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121
## [52687] 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121
## [52705] 121 121 121 121 122 123 121 118 117 118 121 121 121 121 121 121 121 114
## [52723]  98  80  70  60  60  60  60  60  60  80  88  93  92  85  77  72  69  66
## [52741]  64  62  60  60  60  60  60  60  60  60  60  55  53  42  29  35  38  39
## [52759]  39  39  38  40  42  44  45  46  46  46  48  49  52  53  53  53  52  52
## [52777]  53  53  53  53  53  56  57  57  57  57  57  58  57  57  57  57  57  57
## [52795]  57  57  57  57  57  57  57  57  57  57  57  57  57  57  58  58  59  59
## [52813]  59  59  60  60  60  59  58  58  56  56  55  54  53  53  52  51  50  49
## [52831]  49  48  47  46  45  45  44  43  42  41  42  43  44  48   0   0   0   0
## [52849]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [52867]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [52885]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [52903]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [52921]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [52939]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [53065]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [53083]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   7  27  43
## [53101]  56  64  73  86 100 108 115 121 151 178 182 169 145 121 121 123 135 172
## [53119] 183 199 208 216 223 239 246 238 241 242 243 250 256 256 275 297 307 318
## [53137] 334 349 357 364 365 365 365 364 364 365 365 365 365 365 365 354 328 312
## [53155] 301 299 305 294 274 254 243 218 184 160 142 127 121 121 121 121 121 121
## [53173] 126 132 137 144 152 156 161 167 176 182 182 182 182 182 183 182 183 184
## [53191] 185 185 182 182 187 188 199 215 228 239 243 281 304 311 319 326 333 335
## [53209] 347 360 373 377 397 416 426 434 449 466 465 455 441 425 415 413 391 374
## [53227] 335 329 340 337 323 309 294 263 236 209 192 182 151 130 121 121 140 154
## [53245] 165 172 175 177 179 181 181 182 182 182 182 213 219 219 226 231 248 252
## [53263] 243 243 260 280 280 298 318 334 350 365 365 377 391 382 373 365 366 361
## [53281] 342 314 304 304 304 296 282 285 288 293 299 304 304 305 304 304 304 304
## [53299] 292 278 264 255 243 243 243 243 243 243 243 243 243 243 243 239 235 232
## [53317] 232 231 219 203 191 182 182 182 182 182 182 161 152 150 146 140 129 122
## [53335] 121 121 125 132 140 158 178 182 221 236 243 276 280 277 265 254 243 209
## [53353] 179 158 140 121 104  87  67  60  60  60  60  60  60  60  60  60  60  60
## [53371]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  62  61
## [53389]  69  88 101 118 121 121 121 113 110  80  68  60  64  60  60  60  60  60
## [53407]  60  60  60  60  60  60  57  53  50  47  45  41  38  35  32  29  26  23
## [53425]  19  17  16  14  12   9   5   2   2   5   5   5   5   4   4   4   4   3
## [53443]   3   2   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [53461]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [53479]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [53497]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [53515]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [53533]   2   6  10  15  14   6   0   0   0   0   0   0   0   0   0   0   0   0
## [53551]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [53569]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [53587]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [53605]   0   0   0   0   0   0   0   0   0   2   5   8  10  12  14  16  18  21
## [53623]  23  25  27  29  30  33  35  37  38  39  40  41  42  44  44  45  46  47
## [53641]  48  50  51  52  53  53  54  55  56  56  57  57  58  59  59  60  60  60
## [53659]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  61  60  60
## [53677]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [53695]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  72  81  89  98
## [53713] 112 121 121 121 121 121 121 136 147 154 162 166 165 178 182 183 183 169
## [53731] 147 121  83  94 112 121 113 111 115 117 119 120 120 120 121 120 119 118
## [53749] 119 118 119 117 117 117 118 120 120 121 124 138 151 164 177 181 182 182
## [53767] 182 182 186 192 196 199 192 186 180 187 188 188 188 188 185 178 176 182
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## [56035]  38  40  41  42  43  44  45  46  47  48  49  50  51  52  53  54  55  56
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## [61831]  46  44  44  44  44  41  40  36  34  33  32  30  28  24  21  19  16  14
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## [62047]  45  47  49  50  51  52  53  55  57  58  60  60  65  72  85  98 108 117
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## [62389]  55  57  57  57  57  57  58  58  58  58  58  58  58  58  58  58  58  58
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## [63253]  53  53  55  57  59  60  60  68  75  88 103 121 120 121 121 121 121 121
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## [63307]  99 100 102 105  97  88  79  67  60  60  60  60  60  60  60  60  60  60
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## [63577]  49  50  50  53  53  53  54  51  53  54  54  54  54  55  57  57  57  57
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## [63991] 121 112 103  98  94  95  94  93 101 106 112 117 121 143 167 182 186 189
## [64009] 191 192 208 222 229 235 240 243 243 250 257 263 270 277 285 295 304 332
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## [64153]  60  82 107 121 121  82  60  60  69  61  62  61  61  61  61  73 101 121
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## [64441]  36  37  39  40  42  43  44  45  47  48  49  50  51  53  54  55  57  58
## [64459]  59  60  63  71  86  98 107 121 121 121 121 121 121 121 121 121 121 144
## [64477] 162 171 182 182 182 182 182 182 169 154 142 134 123 119 119 121 134 136
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## [64765]  31  39  42  42  42  42  42  44  45  47  47  48  48  49  50  51  53  53
## [64783]  54  54  51  53  54  54  54  54  55  57  57  57  57  58  58  58  58  58
## [64801]  58  58  58  59  59  59  59  59  59  59  59  59  59  59  59  59  59  59
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## [65647]  43  44  45  46  48  49  50  51  52  53  55  56  57  58  59  60  65  78
## [65665]  83  89  88 102 113 121 121 121 121 121 121 121 136 151 160 169 178 182
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## [65737] 105 108 110 114 121 141 164 182 182 182 182 197 205 226 230 243 243 243
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## [65809] 156 148 140 132 125 121 121 142 168 177 179 180 182 182 189 204 200 197
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## [65845] 254 257 258 257 254 248 244 244 243 255 260 263 267 271 270 244 243 251
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## [68041]  32  33  35  36  37  39  40  41  42  43  44  46  48  48  49  50  51  52
## [68059]  53  55  56  56  57  58  59  60  60  60  61  60  60  68 100 101 110 121
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## [69967] 285 304 304 316 318 315 312 309 308 306 305 304 304 304 304 304 304 243
## [69985] 218 182 173 167 158 135 121 121 121 121 101  71  60  60  60  60  60  60
## [70003]  60  60  60  60  78  92 108 121 131 141 153 163 167 171 177 179 182 188
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## [70039] 403 417 429 431 443 455 470 487 485 486 487 487 472 451 426 409 390 381
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## [70525]  87  79  73  65  60  60  60  60  60  60  60  60  60  60  60  90 121 121
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## [71137] 129 132 133 132 128 137 141 149 168 180 190 205 220 235 252 268 279 289
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## [71173] 310 310 309 307 305 304 304 304 304 304 304 304 304 243 203 182 191 182
## [71191] 161 147 135 129 124 121  89  60  60  60  60  60  60  60  60  60  60  70
## [71209]  84 102 121 121 131 145 153 157 163 171 177 182 193 199 220 243 242 246
## [71227] 248 249 252 256 266 277 287 297 304 333 365 373 377 382 388 391 405 426
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## [71443]  69  71  61  56  53  50  48  45  42  38  33  31  28  25  22  20  16  12
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## [71569]  80  59  57  44  38  34  29  24  19  16  15  12   9   7   6   8   9  16
## [71587]  11   5   2   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [71641]  28  29  31  32  33  34  35  37  39  40  41  42  42  43  44  46  46  47
## [71659]  48  49  49  50  52  52  53  54  55  56  57  57  58  58  59  59  60  60
## [71677]  60  60  60  60  60  77  89 103 121 115 119 128 147 160 171 182 182 182
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## [71713] 210 195 189 185 178 169 163 157 151 131 119 111 105 101  98  90  80  76
## [71731]  72  67  62  60  60  60  60  60  60  60  60  95 121 121 121 121 121 121
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## [71767] 235 233 238 243 243 204 167 121 126 122 122 121 122 122 121 121 121 127
## [71785] 129 142 154 163 172 182 188 196 212 231 243 253 274 267 261 243 248 244
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## [71857] 208 227 239 243 248 274 287 297 303 304 304 304 308 309 302 282 281 287
## [71875] 289 298 312 332 352 361 364 364 365 356 329 310 299 279 267 252 239 237
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## [71983]  49  51  51  51  53  54  54  54  52  54  54  54  54  54  56  57  57  57
## [72001]  58  58  58  58  58  58  59  59  59  59  59  59  59  59  59  59  59  59
## [72019]  59  59  59  59  59  59  59  59  60  60  60  60  60  60  60  60  60  60
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## [72343] 121 121 132 159 173 178 182 197 213 236 253 264 275 286 296 304 304 243
## [72361] 210 182 188 182 213 243 243 223 221 243 243 275 304 306 306 306 306 305
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## [72397] 124 108  74  60  60  60  60  60  60  60  60  60  63  75  90 105 114 121
## [72415] 133 139 143 149 159 171 182 190 199 209 224 233 236 238 239 240 242 250
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## [72469] 273 245 235 223 212 202 189 182 182 182 182 191 192 192 198 229 248 257
## [72487] 267 277 292 304 333 357 365 357 332 298 278 268 259 252 246 243 243 243
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## [72523] 316 304 304 304 304 304 254 243 243 243 243 243 243 243 243 243 243 243
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## [72559] 182 167 142 121 108 103 104 106 111 112  90  76  60  60  60  60  89 105
## [72577] 121 121 121 121 106  60  69  61  60  60  60  60  60  60  60  60  60  60
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## [72631]  59  59  59  60  60  60  60  60  60  60  69  69  60  60  60  57  51  47
## [72649]  45  43  40  38  35  31  29  26  24  21  18  15  12  10   8   6   5   2
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## [72757]   0   3  14  22  29  37  44  56  68  78  99 121 121 106  75  60  51  45
## [72775]  41  35  30  25  22  21  18  15  14  12  14  14  21  13   5   1   0   0
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## [72847]  34  35  37  38  40  40  41  42  42  43  45  45  46  47  48  48  50  51
## [72865]  51  52  53  54  55  56  57  57  58  59  59  60  60  60  60  60  60  60
## [72883]  60  68  83  89 101 109 121 135 146 159 168 175 182 182 182 182 182 182
## [72901] 182 182 173 178 182 182 195 215 234 243 243 243 243 231 217 209 200 191
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## [72937]  60  60  60  60  60  72  87 121 121 121 121 121 121 139 152 167 182 177
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## [73171]  39  35  42  44  44  44  44  44  46  46  49  49  49  49  51  52  52  54
## [73189]  54  54  54  52  54  54  54  54  54  56  57  57  57  58  58  58  58  58
## [73207]  58  59  59  59  59  59  59  59  59  59  59  59  59  59  59  59  59  59
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## [73531]  91  97 105 113 118 121 121 121 121 121 121 122 121 121 121 121 153 168
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## [73567] 223 243 202 182 207 230 254 290 304 305 305 305 305 304 304 304 304 304
## [73585] 304 304 292 284 269 249 243 200 182 166 164 147 134 125 110  80  60  60
## [73603]  60  60  60  60  60  60  60  60  66  76  93 104 114 121 124 124 121 138
## [73621] 158 170 182 190 195 207 210 216 222 227 231 238 243 262 281 304 308 314
## [73639] 321 331 333 334 334 338 353 365 398 426 426 426 435 458 467 474 481 480
## [73657] 480 484 471 450 435 426 400 373 365 365 365 342 322 304 277 253 243 231
## [73675] 226 212 191 182 182 182 182 182 182 182 182 218 243 254 265 284 304 316
## [73693] 341 356 365 365 301 286 276 267 259 252 245 243 243 243 243 243 243 243
## [73711] 243 243 243 254 261 269 288 299 301 304 320 332 349 352 329 304 304 304
## [73729] 288 265 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243 243
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## [73765] 118 116 117 120 120 113  96  78  60  60  65  87 103 115 121 121 121 103
## [73783]  60  61  62  61  60  60  60  60  60  60  60  60  60  60  60  60  60  60
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## [73819]  60  60  60  60  60  60  60  60  60  60  60  60  59  59  59  59  59  60
## [73837]  60  60  60  58  58  60  60  62  60  60  55  46  42  40  38  36  34  31
## [73855]  28  26  24  21  20  17  14  12  10   8   7   5   3   1   0   0   0   0
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## [73963]  35  42  51  59  68  96 121 121 120 118  81  58  53  48  42  36  31  28
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## [74053]  40  41  41  42  43  44  45  46  46  47  48  49  50  51  52  52  53  54
## [74071]  55  56  57  58  59  59  60  60  60  60  60  60  60  60  60  60  71  81
## [74089]  92 110 121 131 148 160 170 181 182 182 182 177 173 166 159 157 163 171
## [74107] 179 182 198 223 243 243 243 243 243 237 227 217 207 197 190 186 184 182
## [74125] 158 142 131 128 124 118 104 101  96  89  81  69  60  60  60  60  60  60
## [74143]  60  69  75 100 114 120 130 147 158 175 181 180 182 182 180 182 182 201
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## [75043]  56  54  55  57  57  47  40  36  34  33  31  29  26  24  22  20  18  17
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## [75169]  86 121 112 115 121 121  94  60  56  48  42  37  34  32  31  28  27  25
## [75187]  25  24  28  14   5   1   0   0   0   0   0   0   0   0   0   0   0   0
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## [75241]  23  24  26  27  29  31  32  33  34  35  36  38  39  40  40  41  41  42
## [75259]  44  44  45  46  46  48  49  49  50  51  52  52  54  55  56  56  57  58
## [75277]  59  60  60  60  60  60  60  60  60  60  60  60  71  83 105 120 121 142
## [75295] 157 170 182 182 182 171 162 152 146 139 141 148 163 176 180 182 202 221
## [75313] 243 243 243 243 243 243 233 223 213 206 197 188 182 172 159 155 149 136
## [75331] 121 114 113 110 103  90  76  68  60  60  60  60  60  60  60  60  60  97
## [75349] 121 166 172 173 182 182 181 182 182 182 182 181 182 191 214 238 243 243
## [75367] 243 243 222 182 181 180 184 173 154 130 123 122 122 121 121 127 122 122
## [75385] 121 121 121 121 123 132 140 149 159 167 179 194 213 227 239 247 247 248
## [75403] 249 249 246 244 235 210 186 183 199 187 183 185 183 183 183 182 182 182
## [75421] 182 182 186 185 182 182 182 212 213 209 202 192 182 182 182 182 182 182
## [75439] 182 182 182 182 182 182 182 182 182 182 182 193 202 202 209 211 213 212
## [75457] 215 217 221 226 233 239 242 243 268 286 296 304 304 308 315 324 333 350
## [75475] 365 363 365 360 365 365 365 365 364 365 365 365 365 365 355 349 325 323
## [75493] 317 303 288 278 271 269 270 264 261 259 257 249 238 232 224 197 182 182
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## [75529] 123 122 121 132 160 170 145 137 128 123 122 119 106 101  93  84  72  63
## [75547]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [75565]  60  60  60  60  60  60  60  50  40  36  43  45  45  45  45  45  46  47
## [75583]  49  49  49  49  51  52  52  54  54  54  54  53  54  54  54  55  55  56
## [75601]  57  57  57  58  58  58  58  58  59  59  59  59  59  59  59  59  59  59
## [75619]  59  59  59  59  59  60  60  60  60  60  60  60  60  60  60  60  60  60
## [75637]  60  60  60  60  60  60  60  60  60  60  60  55  58  61  67  72  78  83
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## [75925]  60  60  60  60  63  70  75  80  86  92 102 113 121 120 121 121 121 121
## [75943] 121 121 121 121 121 142 158 166 171 175 178 180 192 216 227 237 243 262
## [75961] 275 296 263 243 182 182 182 182 182 182 182 183 182 205 231 272 304 304
## [75979] 304 304 304 303 301 301 304 304 304 303 304 304 304 286 260 228 193 182
## [75997] 162 145 130 121 107  71  60  60  60  60  60  60  60  60  60  60  60  60
## [76015]  72  83  94 103 108 118 121 128 133 137 139 148 162 175 182 182 197 206
## [76033] 218 231 243 251 256 260 270 273 279 285 292 298 302 304 318 342 352 365
## [76051] 365 365 365 398 426 441 456 473 487 487 487 471 459 448 437 426 413 404
## [76069] 395 385 375 365 335 304 304 304 304 279 250 243 219 213 195 182 182 182
## [76087] 182 182 199 219 234 261 304 319 332 354 365 352 315 296 287 277 267 258
## [76105] 248 243 243 243 243 243 243 243 243 243 250 264 279 300 304 304 304 318
## [76123] 332 346 365 365 364 365 350 323 315 303 279 258 243 243 243 243 243 243
## [76141] 243 243 243 243 243 243 243 243 243 243 245 247 249 255 265 273 284 295
## [76159] 280 262 249 237 225 208 195 189 185 167 142 128 123 125 123 121  97  97
## [76177] 100 115 120 119 120 121  93  66  62  61  61  60  60  60  60  60  60  60
## [76195]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [76213]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [76231]  60  59  58  57  57  58  57  56  56  56  53  52  52  52  50  50  51  49
## [76249]  40  34  30  29  27  25  23  21  18  17  16  14  13  11   9   8   7   6
## [76267]   4   3   2   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [76375] 121 109  82  60  54  48  43  39  38  37  35  33  31  31  29  31  15   5
## [76393]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [76429]   0   0   0   0   3   6   8  10  12  14  17  19  21  23  24  26  27  29
## [76447]  30  32  32  33  35  36  37  39  39  40  40  41  42  43  44  45  45  46
## [76465]  47  48  49  50  51  51  52  53  55  56  56  57  58  59  60  60  60  60
## [76483]  60  60  61  61  60  60  60  60  73 109 121 131 140 153 168 182 182 182
## [76501] 158 142 130 127 124 126 135 159 178 180 182 182 192 224 239 243 243 243
## [76519] 243 243 238 228 221 209 199 192 182 176 175 166 156 147 134 129 124 117
## [76537] 103  88  78  69  60  60  60  60  60  60  60  60  91 133 161 182 182 181
## [76555] 182 182 182 182 182 182 180 178 179 192 222 243 243 243 243 214 182 171
## [76573] 166 155 150 135 123 122 121 122 121 121 131 121 121 121 121 121 121 121
## [76591] 121 132 143 153 163 175 182 202 217 229 238 243 248 253 252 249 246 243
## [76609] 215 196 182 182 186 182 182 183 182 182 182 182 182 185 190 194 197 190
## [76627] 182 199 235 236 227 223 210 200 189 182 182 182 182 182 182 182 182 182
## [76645] 182 182 182 182 182 197 210 232 233 235 235 236 228 229 230 230 232 236
## [76663] 242 249 262 274 288 301 304 304 307 308 320 332 356 364 365 364 365 364
## [76681] 365 365 365 365 365 365 365 366 366 365 366 365 346 338 322 304 294 291
## [76699] 285 284 279 277 276 275 269 259 243 245 223 201 182 182 182 221 232 231
## [76717] 235 238 240 241 242 233 206 194 187 183 182 153 121 121 121 121 121 129
## [76735] 142 141 133 125 121 121 121 117 116 105  94  76  63  61  60  60  60  60
## [76753]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [76771]  60  60  46  38  37  44  45  45  45  45  45  47  47  49  49  50  50  52
## [76789]  52  52  54  54  54  54  53  54  55  55  55  55  56  57  57  57  58  58
## [76807]  58  58  58  59  59  59  59  59  59  59  59  59  59  59  59  59  60  60
## [76825]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [76843]  60  60  60  60  60  60  54  58  61  68  75  82  88 102 107 110 110 110
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## [77131]  63  69  75  81  88  98 109 117 121 121 121 121 121 121 121 121 121 134
## [77149] 170 176 177 175 176 178 180 187 206 220 232 243 247 254 259 243 226 195
## [77167] 182 182 182 182 182 182 182 182 208 241 265 280 297 304 304 304 299 295
## [77185] 291 296 304 304 300 300 304 304 304 269 231 187 180 169 150 125 122  95
## [77203]  60  61  60  60  60  60  60  60  60  60  60  60  60  68  73  82  91 100
## [77221] 111 121 121 122 123 122 128 147 166 177 186 190 195 204 215 223 231 235
## [77239] 240 250 251 252 263 276 290 301 309 320 326 333 336 334 341 349 362 381
## [77257] 416 434 456 470 483 480 476 472 462 453 446 432 421 411 401 390 380 363
## [77275] 340 336 324 316 304 280 263 243 243 220 200 182 182 182 182 191 211 229
## [77293] 258 304 325 343 365 361 365 317 296 287 278 269 259 249 243 243 243 243
## [77311] 243 243 243 243 243 243 263 276 296 304 304 304 317 328 341 358 365 365
## [77329] 365 365 365 340 314 304 271 243 243 243 243 243 243 243 243 243 243 243
## [77347] 243 243 243 243 250 252 256 263 272 280 290 304 302 304 279 263 251 243
## [77365] 228 224 210 197 182 170 153 144 133 128 121 111 112 114 121 121 121 121
## [77383] 114  98  77  60  61  60  60  61  60  60  60  60  60  60  60  60  60  60
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## [77419]  60  60  60  60  60  60  60  60  60  60  60  60  60  59  58  58  57  57
## [77437]  57  56  55  54  53  50  49  48  48  45  44  45  42  34  29  25  23  21
## [77455]  18  17  15  13  12  11  10   9   8   6   5   5   4   3   2   1   0   0
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## [77545]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   2   9
## [77563]  14  17  22  28  33  43  53  60  60  60  60  73  85  98  89  73  70  60
## [77581]  54  49  45  44  43  42  39  37  37  33  35  15   4   0   0   0   0   0
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## [77635]   6   8  10  12  14  17  19  21  23  24  26  27  29  30  31  32  33  34
## [77653]  36  37  38  39  39  40  41  42  43  44  44  45  46  47  48  49  50  51
## [77671]  51  52  53  55  56  56  57  58  60  60  60  60  60  60  60  63  64  63
## [77689]  60  60  60  60  89 121 127 139 152 166 182 182 157 142 121 125 122 121
## [77707] 122 121 157 182 181 182 182 210 218 231 238 243 243 243 243 243 243 234
## [77725] 222 214 209 196 182 187 182 177 182 165 153 140 129 116 100  89  80  71
## [77743]  60  60  60  60  60  60  77  90 128 144 158 173 182 182 182 182 182 182
## [77761] 182 177 173 172 181 201 215 226 227 215 202 182 158 143 130 127 122 123
## [77779] 122 122 121 121 152 183 192 187 167 162 152 131 121 121 124 140 151 161
## [77797] 173 182 195 210 224 235 243 256 268 263 255 247 243 226 209 207 192 182
## [77815] 188 182 182 182 182 182 182 182 190 204 214 222 218 215 222 237 243 243
## [77833] 243 228 214 200 185 182 182 182 182 182 182 182 182 182 182 182 182 182
## [77851] 199 216 227 243 243 243 243 243 243 243 239 239 240 243 262 275 288 304
## [77869] 303 303 304 304 304 304 318 340 365 347 352 351 358 365 365 365 365 365
## [77887] 365 365 367 369 368 368 366 361 359 343 322 310 304 300 296 294 297 297
## [77905] 297 295 292 278 257 243 224 210 202 219 241 243 243 243 243 242 242 240
## [77923] 243 207 193 185 183 174 145 132 124 121 121 121 121 128 130 128 121 121
## [77941] 121 121 121 121 121 104  72  61  60  60  60  60  60  60  60  60  60  60
## [77959]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  47  39  37
## [77977]  44  46  46  46  46  45  47  47  49  50  50  50  52  52  52  54  54  54
## [77995]  54  53  54  55  55  55  55  56  57  57  58  58  58  58  58  58  59  59
## [78013]  59  59  59  59  59  59  59  59  59  59  59  60  60  60  60  60  60  60
## [78031]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [78049]  60  53  57  61  69  77  84  91 107 112 114 114 114 114 115 114 112   0
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## [78373] 182 182 192 205 232 254 266 279 290 304 304 289 279 270 278 291 304 282
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## [78409]  60  60  60  60  60  60  60  60  60  60  70  79  89 105 121 121 121 121
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## [78445] 261 285 304 304 307 309 311 311 304 318 331 352 365 392 426 442 457 476
## [78463] 487 487 487 477 470 468 455 443 426 416 406 395 381 365 365 355 352 347
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## [78517] 246 254 261 279 299 304 304 312 318 329 344 361 365 365 365 365 360 331
## [78535] 304 287 270 257 256 249 243 243 243 243 243 247 247 247 247 248 253 257
## [78553] 259 267 274 282 290 300 304 304 298 287 272 259 250 248 245 235 220 205
## [78571] 190 175 169 151 139 129 121 119 118 119 121 123 121 113 103  83  60  60
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## [78643]  47  46  45  43  41  39  39  35  29  23  19  17  14  11  10   9   8   7
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## [78769]  36  45  49  49  52  56  59  66  82  73  66  64  65  61  55  51  48  47
## [78787]  46  44  41  41  36  37  15   4   0   0   0   0   0   0   0   0   0   0
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## [78841]  17  19  21  23  24  26  27  28  30  31  32  33  34  35  36  37  38  39
## [78859]  40  40  42  42  43  44  45  46  47  48  49  49  50  51  52  53  54  55
## [78877]  56  57  58  59  60  60  60  60  60  60  64  67  68  66  63  60  60  60
## [78895]  75 112 127 141 158 178 170 147 121 123 122 122 131 142 170 167 182 185
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## [78931] 204 196 185 186 182 170 157 139 125 108  97  90  82  72  60  60  60  60
## [78949]  60  71  87 113 121 137 144 156 165 174 179 182 182 173 168 160 159 182
## [78967] 182 186 182 191 182 187 150 142 121 125 122 121 122 122 121 121 182 170
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## [79003] 236 243 278 304 283 264 248 243 237 230 234 219 212 202 194 184 182 182
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## [79039] 199 193 192 187 182 182 182 182 182 182 182 182 182 192 205 216 228 239
## [79057] 243 243 243 243 243 243 247 251 265 274 285 299 304 304 304 304 304 304
## [79075] 304 304 324 325 328 321 323 329 345 365 365 365 365 365 365 369 372 372
## [79093] 372 370 366 365 365 338 320 304 304 304 304 305 307 306 306 305 304 272
## [79111] 243 243 238 235 243 241 245 243 243 243 243 243 207 182 182 182 179 171
## [79129] 161 142 134 128 124 121 121 121 121 122 122 122 121 121 121 121 121 121
## [79147] 107  60  61  61  66  71  68  63  60  61  60  60  60  60  60  60  60  60
## [79165]  60  60  60  60  60  60  60  60  60  60  47  39  38  45  46  46  46  46
## [79183]  46  48  48  49  50  50  50  52  52  52  54  54  55  55  53  54  55  55
## [79201]  55  55  56  57  57  58  58  58  58  58  59  59  59  59  59  59  59  59
## [79219]  59  59  59  59  59  60  60  60  60  60  60  60  60  60  60  60  60  60
## [79237]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  54  57  61  70
## [79255]  77  85  92 103 111 116 119 122 122 122 119 115   0   0   0   0   0   0
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## [79579] 241 249 261 268 282 283 267 251 246 252 267 266 257 263 275 278 267 255
## [79597] 248 234 219 201 187 172 146 118  60  60  60  60  60  60  60  60  60  60
## [79615]  60  60  60  60  60  60  65  75  94 108 115 118 120 121 121 131 139 142
## [79633] 149 149 151 164 177 181 182 189 211 224 235 242 243 253 277 304 304 304
## [79651] 304 304 304 286 304 315 345 365 385 426 435 457 487 487 487 487 487 481
## [79669] 484 471 464 445 426 416 406 391 384 381 381 377 369 365 342 320 307 304
## [79687] 273 243 188 182 182 182 205 224 259 304 334 356 359 365 337 316 297 287
## [79705] 273 259 243 244 244 243 244 243 243 243 243 243 243 243 243 243 261 288
## [79723] 298 304 304 304 314 329 349 359 365 365 365 365 365 336 304 289 282 272
## [79741] 258 243 243 243 243 243 261 261 258 257 259 262 265 267 275 283 290 297
## [79759] 300 304 304 293 283 275 267 263 261 257 250 243 228 213 203 186 170 153
## [79777] 139 129 121 121 121 121 130 130 121 111  93  75  60  60  72  75  67  60
## [79795]  60  60  62  61  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [79813]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [79831]  60  60  59  59  58  57  55  55  54  52  50  49  47  44  42  41  39  36
## [79849]  33  32  29  23  17  14  10   7   3   4   4   4   4   3   3   3   2   2
## [79867]   1   1   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [79885]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [79957]   0   0   0   0   0   0   0   0   0   0   6  12  18  27  36  41  42  46
## [79975]  49  55  60  68  65  62  61  66  70  60  56  54  54  53  50  47  47  40
## [79993]  40  14   3   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [80029]   0   0   0   0   0   0   1   4   6   8  10  12  14  17  19  21  22  24
## [80047]  25  27  28  30  30  31  32  33  35  36  37  38  39  39  40  41  42  43
## [80065]  44  44  45  46  47  48  49  50  51  51  53  54  55  56  56  57  58  60
## [80083]  60  60  60  60  60  67  72  74  74  73  73  71  60  89  96 111 121 142
## [80101] 153 150 133 121 121 121 134 162 182 175 182 184 190 198 208 216 224 231
## [80119] 238 242 243 243 243 243 243 243 243 243 243 243 232 222 215 206 203 191
## [80137] 182 172 152 134 118 109 105 101  90  78  63  60  60  60  60  67 106 119
## [80155] 121 121 130 141 147 154 164 162 159 148 129 129 153 169 169 167 161 143
## [80173] 146 124 122 123 122 121 121 121 121 121 128 151 182 220 240 235 234 223
## [80191] 211 199 180 171 162 162 164 168 176 182 200 216 232 243 261 290 299 304
## [80209] 270 243 243 243 243 245 243 229 218 207 190 182 182 182 182 197 215 243
## [80227] 241 250 253 253 243 243 243 272 274 265 255 238 229 222 219 223 210 198
## [80245] 182 182 182 182 182 182 182 182 182 192 202 217 228 238 243 243 243 243
## [80263] 243 258 270 286 288 294 304 304 304 304 304 304 304 304 304 305 305 304
## [80281] 304 304 304 333 359 364 365 365 365 365 371 377 378 378 377 366 365 354
## [80299] 344 332 321 310 304 304 310 311 309 308 306 305 288 243 243 243 242 241
## [80317] 245 247 244 243 240 228 192 186 189 182 182 172 164 155 143 134 128 123
## [80335] 121 121 121 121 121 121 121 121 121 121 121 121 121  95  79  60  74  79
## [80353]  84  80  74  66  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [80371]  60  60  60  60  60  47  40  38  45  46  46  46  46  46  48  48  50  50
## [80389]  50  50  52  52  52  54  55  55  55  53  54  55  55  55  55  57  57  57
## [80407]  58  58  58  58  58  59  59  59  59  59  59  59  59  59  59  59  59  60
## [80425]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [80443]  60  60  60  60  60  60  60  60  60  54  58  61  70  77  85  92 106 111
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## [80749] 121 149 182 182 182 182 182 182 182 182 182 199 215 233 243 243 248 252
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## [80785] 257 255 243 243 243 243 249 242 243 256 262 255 249 246 245 243 224 203
## [80803] 182 163 130  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [80821]  60  60  60  82  96 104 110 117 121 121 122 125 121 126 121 121 130 161
## [80839] 176 182 194 201 217 235 243 243 260 275 285 296 274 274 259 253 243 265
## [80857] 297 323 348 365 396 426 435 438 441 462 468 476 480 487 487 487 477 442
## [80875] 430 421 407 404 404 403 393 380 368 355 332 312 305 274 231 183 183 182
## [80893] 198 212 229 262 304 355 365 364 331 314 311 306 298 278 261 247 243 243
## [80911] 243 243 243 243 243 243 243 243 243 243 243 246 282 294 299 302 303 304
## [80929] 314 342 353 359 364 365 365 365 365 340 315 299 288 273 259 249 243 252
## [80947] 264 277 272 268 266 268 270 273 275 282 289 295 300 302 303 304 294 286
## [80965] 280 275 274 274 271 266 259 243 228 216 196 182 162 146 134 125 121 121
## [80983] 121 138 143 136 121 103  85  78  78  80  85  80  70  60  71  68  66  63
## [81001]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [81019]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59  58  57
## [81037]  56  54  54  52  49  47  46  44  41  39  37  35  31  28  25  22  18  12
## [81055]   9   5   0   1   0   1   1   1   1   1   1   1   0   0   0   0   0   0
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## [81163]   0   0   0   0   0   0   3   9  21  30  35  38  42  46  51  57  60  62
## [81181]  61  61  70  79  71  60  60  60  60  54  52  53  43  44  14   3   0   0
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## [81235]   0   1   4   6   8  10  12  14  17  19  21  22  24  25  27  28  29  30
## [81253]  31  32  33  34  35  36  37  38  39  40  41  42  42  43  44  45  46  47
## [81271]  48  48  49  50  51  52  53  54  55  56  57  58  59  60  60  60  60  60
## [81289]  69  77  81  84  86  89  93  91  95 104 113 119 126 133 130 121 124 121
## [81307] 125 150 182 180 182 183 188 196 207 220 229 238 240 242 243 243 243 243
## [81325] 243 243 243 243 243 243 243 243 233 227 220 223 202 185 182 165 151 136
## [81343] 121 121 121 109  96  74  60  60  60  60  60 106 118 120 121 121 121 121
## [81361] 134 148 158 160 153 121 122 121 138 137 134 121 127 123 121 122 121 121
## [81379] 121 121 121 121 121 121 151 182 223 243 242 245 243 231 214 202 190 182
## [81397] 178 175 175 178 182 197 219 243 249 263 293 304 304 287 286 282 289 280
## [81415] 259 248 244 237 224 210 187 182 182 182 197 218 238 243 257 269 280 286
## [81433] 279 274 295 297 285 279 265 253 240 240 242 235 231 197 182 182 182 182
## [81451] 182 182 182 182 182 187 207 220 232 242 243 243 243 260 267 283 304 297
## [81469] 299 304 306 305 304 304 304 304 303 304 304 304 305 304 317 326 345 365
## [81487] 365 364 365 365 371 379 387 391 395 399 381 365 359 350 344 335 325 315
## [81505] 311 315 315 313 310 307 305 277 262 243 243 243 243 248 255 243 243 231
## [81523] 211 182 185 183 183 175 161 151 141 133 126 123 122 121 121 121 121 121
## [81541] 121 121 121 121 121 121 121 121 102  89  85  88  94  98  92  85  75  65
## [81559]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [81577]  47  40  39  46  47  47  47  46  46  48  48  50  50  50  50  52  53  53
## [81595]  54  55  55  55  53  55  55  55  55  55  57  57  57  58  58  58  58  59
## [81613]  59  59  59  59  59  59  59  59  59  59  59  60  60  60  60  60  60  60
## [81631]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [81649]  60  60  60  60  54  57  61  69  77  84  91 105 111 115 115 117 118 120
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## [81919]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [81937]  17  31  44  56  50  50  56  71  91 111 118 116 119 121 138 158 178 182
## [81955] 182 182 182 181 180 182 198 217 236 242 248 253 261 269 278 291 272 256
## [81973] 211 182 182 182 182 182 182 199 213 223 215 225 235 244 247 243 243 234
## [81991] 227 224 212 224 237 248 249 247 245 243 243 243 230 182 165 133  81  60
## [82009]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  66  75  88
## [82027]  98 106 114 121 121 121 121 121 121 122 121 121 154 175 182 196 209 219
## [82045] 239 242 243 256 267 277 272 258 243 248 244 243 243 281 304 337 365 381
## [82063] 390 398 405 414 426 426 447 461 487 487 487 449 444 434 428 423 426 426
## [82081] 426 411 388 368 339 318 304 275 243 211 182 182 182 201 220 243 284 318
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## [83665]  40  40  41  42  43  44  45  46  47  48  48  49  50  51  52  53  54  55
## [83683]  56  57  58  59  60  60  60  70  77  88  95 103 111 118 120 121 120 119
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## [83989]  49  50  51  51  51  53  53  53  55  55  55  55  53  55  55  55  55  55
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## [84637]  58  57  56  55  52  49  46  42  40  38  35  33  29  26  23  21  18  16
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## [84853]  27  28  29  30  31  32  33  34  35  35  36  37  38  39  40  41  42  42
## [84871]  43  44  45  46  47  48  49  50  51  52  53  54  55  56  57  58  59  60
## [84889]  60  60  73  85  92 100 109 121 120 121 122 121 121 121 121 121 121 121
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## [85195]  53  53  53  55  55  55  55  53  55  55  55  55  55  57  57  57  58  58
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## [86059]  31  32  33  34  34  35  36  37  39  39  40  41  42  43  44  45  46  47
## [86077]  48  49  50  51  52  53  54  55  56  57  59  60  60  60  60  72  83  91
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## [95671]  28  29  30  31  33  34  35  35  36  38  39  40  41  42  43  44  45  46
## [95689]  47  48  49  50  52  53  54  55  56  57  58  60  60  74  86  96 108 121
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## [96877]  33  34  35  35  37  38  39  40  41  42  43  44  46  47  48  49  50  51
## [96895]  53  54  55  56  57  58  60  60  70  81  91 101 114 121 121 130 136 144
## [96913] 152 166 179 182 182 182 182 184 186 188 187 187 185 182 171 139 121 121
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## [96967] 194 182 167 151 134 121 121 121 121 121 121 121 121 121 121 121 121 121
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## [97003] 192 199 225 234 240 243 243 247 248 245 192 186 190 206 220 238 243 243
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## [97165]  82  76  69  63  60  60  60  62  62  62  62  61  60  60  60  60  60  60
## [97183]  60  60  60  60  60  60  56  49  47  46  51  51  51  51  51  50  52  52
## [97201]  53  53  53  53  54  54  54  56  56  56  56  55  56  56  56  56  56  57
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## [97849]  54  52  50  48  46  43  41  40  38  36  35  32  29  28  26  24  22  20
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## [98083]  37  38  39  40  41  42  44  45  46  47  48  49  51  52  53  54  55  56
## [98101]  57  59  60  67  75  84  93 108 121 121 129 137 144 151 162 172 177 182
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## [98281] 266 260 253 267 285 304 305 305 305 304 277 243 243 243 258 277 304 304
## [98299] 304 304 304 304 304 297 275 259 249 248 253 265 282 297 302 303 304 304
## [98317] 304 304 304 304 304 304 304 341 365 366 365 366 365 365 372 371 368 367
## [98335] 366 366 365 349 332 313 304 270 243 229 227 230 243 225 204 186 166 149
## [98353] 135 121 121 151 172 160 148 135 121 118 109  99  92  85  78  71  65  60
## [98371]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [98389]  60  56  49  47  47  51  52  51  51  51  51  52  52  53  53  53  53  54
## [98407]  55  55  56  56  56  56  55  56  56  56  56  56  57  57  58  58  58  59
## [98425]  59  59  59  59  59  60  60  60  60  60  60  60  60  60  60  60  60  60
## [98443]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [98461]  60  60  60  60  60  60  60  60  60  60  60  60  60  55  57  60  64  68
## [98479]  73  78  79  89   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98497]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98515]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98533]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98551]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98569]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98587]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98605]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98623]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98641]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98659]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98677]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98695]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98713]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98731]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98749]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [98767]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  23  38
## [98785]  44  53  67  85  97 109 121 121 139 138 134 130 121 117 117 119 120 121
## [98803] 148 162 174 190 212 195 194 189 184 175 152 135 134 131 121 121 121 121
## [98821] 117 115 113  98  89  65  60  72  77  80  73  60  61  60  60  60  60  60
## [98839]  56  50  45  41  37  32  26  20  16  11   8   4   4   5  13  16  23  25
## [98857]  32  40  50  55  55  52  53  55  58  60  60  66  89 108 134 176 181 185
## [98875] 189 193 197 203 213 204 230 249 250 251 252 255 261 286 298 310 331 352
## [98893] 365 377 386 393 398 402 409 420 431 433 446 470 487 487 487 487 479 464
## [98911] 441 416 396 375 356 336 304 274 253 243 260 304 320 339 347 353 365 381
## [98929] 396 412 414 394 379 374 369 356 369 398 426 417 412 413 419 426 447 463
## [98947] 475 487 480 482 487 490 487 503 513 527 540 548 548 548 551 548 524 503
## [98965] 487 512 528 548 497 474 470 468 467 471 476 502 523 536 548 548 548 523
## [98983] 500 487 467 487 521 548 561 562 556 548 528 507 472 426 426 426 406 385
## [99001] 365 321 291 275 257 243 220 201 192 182 157 121 101  60  60  60  60  79
## [99019] 100 121 122 101  60  60  60  60  67  60  63  60  61  60  60  60  60  60
## [99037]  60  60  60  60  60  60  60  60  60  60  60  58  55  54  52  50  49  46
## [99055]  43  42  40  38  36  35  33  30  28  26  25  23  21  18  16  15  13  11
## [99073]  10   8   5   3   2   1   0   0   0   0   0   0   0   0   0   0   0   0
## [99091]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99109]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99127]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99145]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99163]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99181]   0   0   0   0   0   0   0   0   0   0   1   5   7   8   8   6   0   0
## [99199]   9  17  23  25  28  35  34  21  21  21   2   0   0   0   0   0   0   0
## [99217]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99235]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   2   4
## [99253]   6   8  10  11  13  15  16  16  17  17  18  19  19  20  21  21  22  23
## [99271]  24  24  25  25  26  28  29  30  31  32  33  34  35  37  38  39  40  41
## [99289]  42  43  45  46  47  48  49  50  52  53  54  55  56  57  59  60  63  69
## [99307]  77  87 101 114 121 128 135 142 149 159 168 174 178 182 182 186 191 195
## [99325] 198 201 203 207 205 194 182 182 160 139 121 121 121 121 121 143 157 176
## [99343] 182 182 182 184 185 182 182 182 201 207 220 234 243 247 250 253 256 259
## [99361] 270 282 292 304 285 270 255 237 218 206 195 182 170 145 121 121 121 121
## [99379] 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 146
## [99397] 170 179 172 169 170 176 181 182 182 182 199 217 234 243 243 243 243 243
## [99415] 243 196 182 183 182 199 224 238 243 243 243 243 213 182 182 192 213 243
## [99433] 242 243 243 232 211 188 181 166 155 158 162 168 175 180 182 182 184 182
## [99451] 184 182 183 182 185 182 197 211 222 239 242 243 243 243 243 243 243 243
## [99469] 243 243 243 243 242 243 255 259 269 269 263 262 259 253 243 246 243 267
## [99487] 288 304 304 304 304 287 243 243 243 243 274 288 304 304 304 304 304 304
## [99505] 277 256 243 246 243 243 263 285 301 303 304 304 304 304 304 304 304 304
## [99523] 304 309 318 342 356 360 363 365 365 367 368 367 366 366 365 365 365 356
## [99541] 326 309 294 260 242 238 241 242 243 218 190 172 159 145 140 153 172 196
## [99559] 189 174 159 140 126 116 104  95  87  79  71  65  61  60  60  60  60  60
## [99577]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  56  50  48  47
## [99595]  52  52  52  52  51  51  52  52  53  53  53  53  55  55  55  56  56  56
## [99613]  56  55  56  56  56  56  56  57  57  58  58  59  59  59  59  59  59  59
## [99631]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [99649]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [99667]  60  60  60  60  60  60  60  60  55  57  60  64  69  73  78  79  89   0
## [99685]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99703]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99721]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99739]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99757]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99775]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99793]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99811]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99829]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99847]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99865]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99883]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99901]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99919]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99937]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99955]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [99973]   0   0   0   0   0   0   0   0   0   0   0   0  16  27  38  55  73  85
## [99991]  97 102 114 121 121 121 121 113 115
##  [ reached getOption("max.print") -- omitted 1342402 entries ]

And we could even then turn that vector back into a matrix of the proper dimensions.

#coerce a subset of the data values to a matrix, 
# with the appropriate number of rows and columns
matrix(DEM[1:4,1:4], ncol = 4, byrow = TRUE)

##      [,1] [,2] [,3] [,4]
## [1,]  120  120  117  111
## [2,]  123  123  118  109
## [3,]  127  127  119  113
## [4,]  130  130  125  119

#coerce our whole raster data values to a matrix, 
# with the appropriate number of rows and cols
matrix(DEM[,], ncol = ncol(DEM), byrow = TRUE)

##         [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
##    [1,]  120  120  117  111  104   98   92   89   87    85    82    80    79
##    [2,]  123  123  118  109  102   96   89   85   83    82    81    80    79
##    [3,]  127  127  119  113  106   99   92   88   86    84    81    79    76
##    [4,]  130  130  125  119  113  108  101   97   94    90    83    77    72
##    [5,]  130  131  128  123  120  115  110  107  104    97    87    77    69
##    [6,]  126  128  125  122  120  118  116  114  111   103    91    78    68
##    [7,]  115  123  116  113  111  110  109  108  103    92    79    68    60
##    [8,]   99   97  102   97   95   95   95   93   86    76    67    57    48
##    [9,]   77   74   78   74   73   73   74   73   60    58    46    38    35
##   [10,]   50   47   48   49   48   50   51   51   49    48    38    27    23
##   [11,]   23   10   18   19   19   28   28   31   38    42    37    27    17
##   [12,]    0    3    9   10   10   11   11   17   29    38    37    25    15
##   [13,]    0    0    1    2    2    2    2   13   26    35    34    22    13
##   [14,]    0    0    0    0    0    0    0   11   23    31    30    19    12
##   [15,]    0    0    0    0    0    0    0   10   21    28    27    18    11
##   [16,]    0    0    0    0    0    0    0    9   19    24    23    17    11
##   [17,]    0    0    0    0    0    0    0    7   16    20    20    15    10
##   [18,]    0    0    0    0    0    0    0    6   13    16    16    13    10
##   [19,]    0    0    0    0    0    0    0    4   10    12    13    11     9
##   [20,]    0    0    0    0    0    0    0    3    7     8     8     8     7
##   [21,]    0    0    0    0    0    0    0    1    3     3     4     4     4
##   [22,]    0    0    0    0    0    0    0    0    0     0     1     1     1
##   [23,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [24,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [25,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [26,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [27,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [28,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [29,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [30,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [31,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [32,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [33,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [34,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [35,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [36,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [37,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [38,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [39,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [40,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [41,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [42,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [43,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [44,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [45,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [46,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [47,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [48,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [49,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [50,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [51,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [52,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [53,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [54,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [55,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [56,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [57,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [58,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [59,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [60,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [61,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [62,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [63,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [64,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [65,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [66,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [67,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [68,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [69,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [70,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [71,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [72,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [73,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [74,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [75,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [76,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [77,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [78,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [79,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [80,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [81,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [82,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##   [83,]    0    0    0    0    0    0    0    0    0     0     0     0     0
##         [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
##    [1,]    76    72    67    57    45    32    20    12     6     3     1     0
##    [2,]    76    72    67    57    45    32    19    11     6     3     1     0
##    [3,]    73    69    66    57    46    32    21    14     9     6     3     1
##    [4,]    68    66    64    60    52    42    32    23    18    13     8     5
##    [5,]    65    63    62    61    57    50    43    37    30    25    17    11
##    [6,]    62    61    60    60    59    56    52    48    44    38    28    21
##    [7,]    55    56    56    58    57    57    57    56    54    49    40    33
##    [8,]    44    45    46    51    51    53    56    57    57    56    50    43
##    [9,]    31    31    37    40    40    45    50    52    51    52    47    46
##   [10,]    19    18    22    26    26    33    39    41    39    41    38    36
##   [11,]    11     9    12    13    13    18    24    25    23    26    23    23
##   [12,]     9     6     5     6     4     7    10    11     9    11     9    10
##   [13,]     8     5     3     2     1     1     2     2     2     2     2     2
##   [14,]     8     5     3     2     1     0     0     0     0     0     0     0
##   [15,]     7     5     4     2     1     1     0     0     0     0     0     0
##   [16,]     7     5     4     3     2     1     0     0     0     0     0     0
##   [17,]     7     6     5     3     2     1     1     0     0     0     0     0
##   [18,]     8     7     5     4     3     2     1     0     0     0     0     0
##   [19,]     8     7     5     4     3     2     1     0     0     0     0     0
##   [20,]     6     5     5     3     2     1     1     0     0     0     0     0
##   [21,]     4     3     3     2     1     0     0     0     0     0     0     0
##   [22,]     1     1     1     0     0     0     0     0     0     0     0     0
##   [23,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [24,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [25,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [26,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [27,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [28,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [29,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [30,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [31,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [32,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [33,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [34,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [35,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [36,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [37,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [38,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [39,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [40,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [41,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [42,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [43,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [44,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [45,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [83,]     0     0     0     0     0     0     0     0     0     0     0     0
##         [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
##    [1,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [2,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [3,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [4,]     2     1     0     0     0     0     0     0     0     0     0     0
##    [5,]     7     4     2     1     0     0     0     0     0     0     0     0
##    [6,]    14     8     4     2     1     0     0     0     0     0     0     0
##    [7,]    23    15     9     5     2     0     0     0     0     0     0     1
##    [8,]    33    23    15     8     4     1     0     0     1     2     3     4
##    [9,]    40    32    20    11     5     1     1     2     5     7    11    11
##   [10,]    27    21    15     9     4     1     2     6    13    17    23    23
##   [11,]    17    12     8     5     2     1     3    11    23    28    36    36
##   [12,]     7     4     2     1     0     0     3    17    38    38    46    51
##   [13,]     2     1     0     0     0     0     0     7    25    41    52    44
##   [14,]     0     0     0     0     0     0     0     1    10    31    32    30
##   [15,]     0     0     0     0     0     0     0     0     2     9    14    14
##   [16,]     0     0     0     0     0     0     0     0     0     1     4     4
##   [17,]     0     0     0     0     0     0     0     0     0     0     0     1
##   [18,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [55,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [56,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [57,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [58,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [59,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [60,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [61,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [66,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [68,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [75,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [77,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [79,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [83,]     0     0     0     0     0     0     0     0     0     0     0     0
##         [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
##    [1,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [2,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [3,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [4,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [5,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [6,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [7,]     1     0     0     0     0     0     0     0     0     0     0     0
##    [8,]     3     2     1     0     0     0     0     0     0     0     0     0
##    [9,]     8     5     3     1     0     0     0     0     0     0     0     0
##   [10,]    17    11     6     3     1     0     0     0     0     0     0     0
##   [11,]    31    20    11     5     2     0     0     0     0     0     0     0
##   [12,]    39    28    17     7     2     0     0     0     0     0     0     0
##   [13,]    29    19    11     5     1     0     0     0     0     0     0     0
##   [14,]    17     9     5     2     0     0     0     0     0     0     0     0
##   [15,]     8     4     2     1     0     0     0     0     0     0     0     0
##   [16,]     2     1     0     0     0     0     0     0     0     0     0     0
##   [17,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [18,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [19,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [20,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [24,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [25,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [26,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [30,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [31,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [33,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [41,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [44,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [45,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [46,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [47,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [48,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [50,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [53,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [54,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [55,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [56,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [57,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [58,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [59,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [60,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [61,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [62,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [63,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [64,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [65,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [66,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [67,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [68,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [69,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [70,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [72,]     0     0     0     0     0     0     0     0     0     0     0     0
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##   [74,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [75,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [76,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [77,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [78,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [79,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [80,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [81,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [82,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [83,]     0     0     0     0     0     0     0     0     0     0     0     0
##         [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
##    [1,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [2,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [3,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [4,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [5,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [6,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [7,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [8,]     0     0     0     0     0     0     0     0     0     0     0     0
##    [9,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [10,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [11,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [12,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [13,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [14,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [15,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [16,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [17,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [18,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [19,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [20,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [21,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [22,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [23,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [24,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [25,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [26,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [27,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [28,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [29,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [30,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [31,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [32,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [33,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [34,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [35,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [36,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [37,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [38,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [39,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [40,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [41,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [42,]     0     0     0     0     0     0     0     0     0     0     0     0
##   [43,]     0     0     0     0     0     0     0     0     0     0     0     0
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##         [,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85]
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##         [,86] [,87] [,88] [,89] [,90] [,91] [,92] [,93] [,94] [,95] [,96] [,97]
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##         [,208] [,209] [,210] [,211] [,212] [,213] [,214] [,215] [,216] [,217]
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##    [2,]      7     16     23     29     36     49     56     61     64     88
##    [3,]      5     11     17     23     29     39     48     55     67     77
##    [4,]      2      5     10     14     20     28     37     45     56     70
##    [5,]      0      1      3      5      9     17     25     33     42     51
##    [6,]      0      0      0      1      2      7     13     21     29     36
##    [7,]      0      0      0      0      0      1      5     11     18     24
##    [8,]      0      0      0      0      0      0      1      4      9     14
##    [9,]      0      0      0      0      0      0      0      0      3      7
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##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,218] [,219] [,220] [,221] [,222] [,223] [,224] [,225] [,226] [,227]
##    [1,]    108    123    140    158    168    185    196    204    205    204
##    [2,]    104    121    139    158    170    186    197    203    204    203
##    [3,]     99    116    132    148    163    174    184    192    196    196
##    [4,]     94    110    125    139    152    161    171    179    185    185
##    [5,]     64     75    100    120    134    145    156    163    170    170
##    [6,]     44     53     62     90    111    126    138    146    153    153
##    [7,]     31     38     49     68     89    106    118    129    136    136
##    [8,]     20     27     37     51     61     72     95    109    121    117
##    [9,]     12     18     28     40     55     62     87    101    108     95
##   [10,]      5     11     22     35     48     73     97    100     98     84
##   [11,]      1      5     14     27     51     78     98     91     81     73
##   [12,]      0      0      4     17     32     64     85     73     60     60
##   [13,]      0      0      0     11     25     53     72     64     62     60
##   [14,]      0      0      0      4     16     35     51     52     56     58
##   [15,]      0      0      0      0      6     14     29     43     53     58
##   [16,]      0      0      0      0      0      4     22     39     58     60
##   [17,]      0      0      0      0      0      0     11     33     60     60
##   [18,]      0      0      0      0      0      0      0      8     28     46
##   [19,]      0      0      0      0      0      0      0      0      0     15
##   [20,]      0      0      0      0      0      0      0      0      0      0
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##   [51,]      0      0      0      0      0      0      0      0      0      0
##   [52,]      0      0      0      0      0      0      0      0      0      0
##   [53,]      0      0      0      0      0      0      0      0      0      0
##   [54,]      0      0      0      0      0      0      0      0      0      0
##   [55,]      0      0      0      0      0      0      0      0      0      0
##   [56,]      0      0      0      0      0      0      0      0      0      0
##   [57,]      0      0      0      0      0      0      0      0      0      0
##   [58,]      0      0      0      0      0      0      0      0      0      0
##   [59,]      0      0      0      0      0      0      0      0      0      0
##   [60,]      0      0      0      0      0      0      0      0      0      0
##   [61,]      0      0      0      0      0      0      0      0      0      0
##   [62,]      0      0      0      0      0      0      0      0      0      0
##   [63,]      0      0      0      0      0      0      0      0      0      0
##   [64,]      0      0      0      0      0      0      0      0      0      0
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##   [66,]      0      0      0      0      0      0      0      0      0      0
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##   [68,]      0      0      0      0      0      0      0      0      0      0
##   [69,]      0      0      0      0      0      0      0      0      0      0
##   [70,]      0      0      0      0      0      0      0      0      0      0
##   [71,]      0      0      0      0      0      0      0      0      0      0
##   [72,]      0      0      0      0      0      0      0      0      0      0
##   [73,]      0      0      0      0      0      0      0      0      0      0
##   [74,]      0      0      0      0      0      0      0      0      0      0
##   [75,]      0      0      0      0      0      0      0      0      0      0
##   [76,]      0      0      0      0      0      0      0      0      0      0
##   [77,]      0      0      0      0      0      0      0      0      0      0
##   [78,]      0      0      0      0      0      0      0      0      0      0
##   [79,]      0      0      0      0      0      0      0      0      0      0
##   [80,]      0      0      0      0      0      0      0      0      0      0
##   [81,]      0      0      0      0      0      0      0      0      0      0
##   [82,]      0      0      0      0      0      0      0      0      0      0
##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,228] [,229] [,230] [,231] [,232] [,233] [,234] [,235] [,236] [,237]
##    [1,]    194    195    186    172    164    152    135    118    101     81
##    [2,]    193    186    180    169    159    149    134    117    100     81
##    [3,]    190    183    176    163    150    138    125    109     90     77
##    [4,]    183    174    167    152    136    123    108     91     75     67
##    [5,]    170    160    151    136    120    105     90     76     68     64
##    [6,]    153    141    129    116    103     88     75     68     64     62
##    [7,]    132    118    105     94     82     75     67     64     61     61
##    [8,]    103     82     70     75     70     66     63     61     61     62
##    [9,]     79     72     65     63     63     62     61     62     65     75
##   [10,]     72     65     62     61     61     60     63     71     80    100
##   [11,]     66     62     61     60     60     60     71     84     97    112
##   [12,]     62     61     60     60     60     60     87    107    121    135
##   [13,]     61     61     61     60     60     85    103    121    135    149
##   [14,]     60     61     66     74     95    111    134    146    156    174
##   [15,]     60     68     82     97    121    133    172    172    167    182
##   [16,]     60     72     82     94    112    131    172    170    161    163
##   [17,]     60     67     72     77     91    103    121    144    138    140
##   [18,]     50     50     52     57     68     72     77    104    110    118
##   [19,]     21     20     28     39     44     48     54     60     78    100
##   [20,]      1      0      6     18     26     31     43     55     60     86
##   [21,]      0      0      0      0     10     16     32     49     60     86
##   [22,]      0      0      0      0      0      0     14     36     52     68
##   [23,]      0      0      0      0      0      0      0     15     30     45
##   [24,]      0      0      0      0      0      0      0      0     15     31
##   [25,]      0      0      0      0      0      0      0      0      0      9
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##         [,238] [,239] [,240] [,241] [,242] [,243] [,244] [,245] [,246] [,247]
##    [1,]     69     62     54     50     53     53     54     56     58     74
##    [2,]     69     61     52     47     44     47     52     56     59     75
##    [3,]     67     60     52     47     46     50     54     58     61     70
##    [4,]     63     59     54     52     55     61     60     61     61     63
##    [5,]     62     60     58     62     73     72     72     68     64     63
##    [6,]     61     61     67     81    100     99     90     82     73     71
##    [7,]     62     63     78     98    110    114    106     98     86     83
##    [8,]     71     74     91    107    117    121    116    109     99     96
##    [9,]     85     89    101    114    126    133    127    119    111    109
##   [10,]    103    108    118    128    140    147    140    131    123    120
##   [11,]    124    130    139    146    159    162    155    143    133    132
##   [12,]    146    152    161    168    182    177    182    166    156    144
##   [13,]    163    170    182    180    178    182    182    182    176    173
##   [14,]    180    182    181    182    183    183    183    182    182    182
##   [15,]    182    181    182    184    186    188    188    182    182    182
##   [16,]    175    182    182    185    192    198    204    200    197    215
##   [17,]    153    168    182    187    202    215    226    224    229    238
##   [18,]    129    147    164    189    213    236    243    243    243    243
##   [19,]    115    121    141    175    206    222    235    242    243    243
##   [20,]    111    120    130    168    188    211    226    237    242    243
##   [21,]    121    119    138    170    182    201    223    237    243    243
##   [22,]     87    111    131    175    194    209    236    243    242    243
##   [23,]     60     87    121    148    182    200    205    223    243    243
##   [24,]     47     60     95    131    161    182    182    182    208    237
##   [25,]     28     51     68    100    131    146    158    169    179    209
##   [26,]      0     26     43     70    101    121    137    152    169    194
##   [27,]      0      5     21     45     71     91    112    131    158    190
##   [28,]      0      0      0     22     45     60     87    121    137    170
##   [29,]      0      0      0      3     22     37     53     75    106    141
##   [30,]      0      0      0      0      0     14     31     48     60    109
##   [31,]      0      0      0      0      0      0      8     28     51     81
##   [32,]      0      0      0      0      0      0      0      0     26     66
##   [33,]      0      0      0      0      0      0      0      0      0     48
##   [34,]      0      0      0      0      0      0      0      0      0     26
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##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,248] [,249] [,250] [,251] [,252] [,253] [,254] [,255] [,256] [,257]
##    [1,]     91    107    126    143    162    174    202    223    234    246
##    [2,]     92    107    126    143    160    172    201    223    232    240
##    [3,]     87    103    118    133    146    162    185    206    223    235
##    [4,]     76     94    106    121    131    137    156    171    188    208
##    [5,]     74     91    105    116    122    127    141    158    171    186
##    [6,]     80     96    109    124    130    136    142    155    173    185
##    [7,]     93    107    127    139    145    153    160    173    186    198
##    [8,]    102    111    143    159    169    174    183    192    207    225
##    [9,]    112    116    128    145    160    174    192    212    228    242
##   [10,]    120    121    123    130    140    158    182    203    224    245
##   [11,]    129    130    127    124    129    146    168    190    212    231
##   [12,]    140    143    135    121    121    142    159    182    194    211
##   [13,]    182    165    157    147    144    150    165    176    182    197
##   [14,]    191    188    185    174    165    167    172    177    180    182
##   [15,]    205    204    199    192    182    182    178    180    181    181
##   [16,]    223    219    216    211    210    206    198    192    182    201
##   [17,]    238    235    233    233    235    243    243    243    243    243
##   [18,]    243    242    241    241    243    243    243    243    243    243
##   [19,]    243    243    243    243    243    243    243    243    243    243
##   [20,]    243    243    243    243    243    243    243    243    243    243
##   [21,]    243    243    243    243    243    243    243    243    243    243
##   [22,]    243    243    243    243    243    243    243    243    243    243
##   [23,]    243    243    243    243    243    243    243    243    243    243
##   [24,]    243    243    243    243    243    243    243    243    243    243
##   [25,]    243    243    243    243    243    243    243    243    243    243
##   [26,]    227    243    243    243    243    243    243    243    243    243
##   [27,]    218    243    243    243    243    243    243    243    243    243
##   [28,]    200    220    243    243    243    243    243    243    243    216
##   [29,]    172    192    195    198    198    218    232    231    215    200
##   [30,]    142    155    161    162    173    182    200    201    194    182
##   [31,]    113    129    131    131    146    156    173    186    169    147
##   [32,]     89     96    104    113    121    121    142    144    142    121
##   [33,]     75     78     87     95     98    109    121    129    121    122
##   [34,]     51     57     67     69     70     73     92    102    107    112
##   [35,]     30     41     48     52     54     58     60     60     78     97
##   [36,]     15     28     34     39     45     52     57     59     60     70
##   [37,]      0     15     22     29     37     47     54     58     59     60
##   [38,]      0      3     11     20     31     47     54     58     60     68
##   [39,]      0      0      0     11     30     55     60     60     63     75
##   [40,]      0      0      0      0     22     55     60     60     66     76
##   [41,]      0      0      0      0      0     45     60     60     70     78
##   [42,]      0      0      0      0      0     22     60     60     68     76
##   [43,]      0      0      0      0      0     10     40     60     65     71
##   [44,]      0      0      0      0      0      5     27     44     60     66
##   [45,]      0      0      0      0      0      0      7     27     43     56
##   [46,]      0      0      0      0      0      0      0     12     30     47
##   [47,]      0      0      0      0      0      0      0      4     20     38
##   [48,]      0      0      0      0      0      0      0      0      8     27
##   [49,]      0      0      0      0      0      0      0      0      0     15
##   [50,]      0      0      0      0      0      0      0      0      0      8
##   [51,]      0      0      0      0      0      0      0      0      0      0
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##   [82,]      0      0      0      0      0      0      0      0      0      0
##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,258] [,259] [,260] [,261] [,262] [,263] [,264] [,265] [,266] [,267]
##    [1,]    260    282    308    336    367    383    385    379    371    359
##    [2,]    257    280    304    334    366    382    385    381    373    360
##    [3,]    250    268    292    322    353    369    375    376    371    360
##    [4,]    226    244    269    297    321    343    358    367    368    362
##    [5,]    205    222    242    271    294    318    342    355    363    362
##    [6,]    202    212    227    257    282    302    325    346    358    363
##    [7,]    206    219    241    266    285    300    320    342    355    362
##    [8,]    236    248    271    288    300    313    329    347    358    363
##    [9,]    260    276    289    295    305    317    332    348    358    363
##   [10,]    274    285    287    294    303    314    330    347    358    363
##   [11,]    250    267    275    286    296    308    325    345    357    363
##   [12,]    227    243    256    275    287    296    304    330    365    365
##   [13,]    215    231    243    257    272    286    297    304    338    365
##   [14,]    198    220    234    242    251    276    293    304    322    336
##   [15,]    182    213    231    239    243    272    294    304    306    308
##   [16,]    212    221    237    249    277    294    303    306    310    316
##   [17,]    243    243    251    277    304    300    307    312    319    330
##   [18,]    243    255    267    293    302    304    310    319    327    343
##   [19,]    243    257    269    293    304    304    309    317    326    343
##   [20,]    243    252    259    273    291    294    300    308    319    338
##   [21,]    243    243    243    259    261    263    277    291    304    326
##   [22,]    243    243    239    243    243    243    259    274    290    312
##   [23,]    243    243    230    227    231    236    241    251    266    291
##   [24,]    243    243    218    213    220    227    234    239    243    275
##   [25,]    243    243    202    199    210    219    227    235    243    261
##   [26,]    243    243    192    182    199    210    220    229    236    248
##   [27,]    226    192    186    182    192    202    211    220    228    238
##   [28,]    202    182    182    182    189    196    204    212    221    232
##   [29,]    182    174    174    180    184    190    197    205    215    229
##   [30,]    144    148    161    174    181    182    190    199    213    231
##   [31,]    121    121    145    167    178    182    182    188    215    240
##   [32,]    126    122    131    156    167    174    180    182    212    243
##   [33,]    121    123    129    150    161    170    177    182    210    243
##   [34,]    118    121    129    144    154    165    174    182    202    233
##   [35,]    111    121    133    144    153    162    171    182    192    217
##   [36,]    101    121    132    143    151    159    167    174    180    197
##   [37,]     90    121    128    139    147    155    163    169    175    181
##   [38,]     86    104    124    134    142    149    157    164    171    179
##   [39,]     89    100    116    130    138    146    154    162    170    180
##   [40,]     87     98    116    128    136    144    152    161    170    181
##   [41,]     87     97    115    125    132    139    147    156    166    179
##   [42,]     84     93    106    118    125    133    141    153    169    182
##   [43,]     78     87     99    110    116    121    132    149    170    182
##   [44,]     73     81     94    106    112    118    121    148    175    180
##   [45,]     64     73     86    100    108    115    121    151    178    182
##   [46,]     60     67     81     95    105    114    121    162    182    182
##   [47,]     54     63     75     92    104    115    121    182    179    182
##   [48,]     41     52     66     90    106    121    149    182    182    182
##   [49,]     32     47     63     86    106    121    145    170    172    121
##   [50,]     25     43     67     92    109    121    133    144    129    123
##   [51,]     17     38     61     91    112    119    120    123    124    118
##   [52,]      8     30     56     79     90    103    121    121    116    113
##   [53,]      0     30     62     67     68     76     83     91     79    103
##   [54,]      0     25     60     60     60     60     60     62     63     73
##   [55,]      0     15     50     60     60     60     60     60     61    121
##   [56,]      0      0     41     60     60     60     60     60     75     99
##   [57,]      0      0     30     47     57     59     60     60     74    101
##   [58,]      0      0     22     45     53     58     60     60     73     96
##   [59,]      0      0     27     50     60     58     60     60     72     91
##   [60,]      0      0     30     60     58     60     60     60     70     85
##   [61,]      0      0     29     60     60     60     60     60     67     79
##   [62,]      0      0     25     51     60     60     60     60     66     73
##   [63,]      0      0     16     39     60     60     60     60     65     71
##   [64,]      0      0     11     33     60     60     60     60     63     70
##   [65,]      0      0      0     17     34     45     40     38     50     63
##   [66,]      0      0      0      0     14     14     14     15     29     47
##   [67,]      0      0      0      0      0      0      0      0      7     23
##   [68,]      0      0      0      0      0      0      0      0      0      0
##   [69,]      0      0      0      0      0      0      0      0      0      0
##   [70,]      0      0      0      0      0      0      0      0      0      0
##   [71,]      0      0      0      0      0      0      0      0      0      0
##   [72,]      0      0      0      0      0      0      0      0      0      0
##   [73,]      0      0      0      0      0      0      0      0      0      0
##   [74,]      0      0      0      0      0      0      0      0      0      0
##   [75,]      0      0      0      0      0      0      0      0      0      0
##   [76,]      0      0      0      0      0      0      0      0      0      0
##   [77,]      0      0      0      0      0      0      0      0      0      0
##   [78,]      0      0      0      0      0      0      0      0      0      0
##   [79,]      0      0      0      0      0      0      0      0      0      0
##   [80,]      0      0      0      0      0      0      0      0      0      0
##   [81,]      0      0      0      0      0      0      0      0      0      0
##   [82,]      0      0      0      0      0      0      0      0      0      0
##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,268] [,269] [,270] [,271] [,272] [,273] [,274] [,275] [,276] [,277]
##    [1,]    345    325    311    280    259    249    236    226    215    202
##    [2,]    345    325    311    280    259    254    247    235    222    208
##    [3,]    345    329    315    301    280    265    252    238    222    205
##    [4,]    350    339    329    316    302    281    262    241    218    200
##    [5,]    357    351    342    330    317    297    271    243    213    199
##    [6,]    363    362    355    344    330    312    279    254    231    207
##    [7,]    364    365    364    356    342    322    298    274    254    234
##    [8,]    365    365    365    364    354    328    305    285    268    255
##    [9,]    365    365    365    365    363    351    326    299    273    253
##   [10,]    365    365    365    365    365    353    330    309    287    265
##   [11,]    365    365    365    365    365    352    335    319    300    272
##   [12,]    365    365    365    365    365    357    337    318    309    304
##   [13,]    365    365    365    365    349    344    330    316    304    265
##   [14,]    348    350    347    332    331    327    320    308    295    259
##   [15,]    304    304    304    304    313    313    311    304    292    277
##   [16,]    311    304    304    304    304    304    306    306    305    297
##   [17,]    339    322    304    304    304    302    304    304    304    304
##   [18,]    365    354    324    304    304    295    297    304    304    304
##   [19,]    358    365    344    320    304    285    280    295    304    304
##   [20,]    362    364    359    328    304    269    259    279    292    304
##   [21,]    348    365    365    334    304    243    247    263    278    292
##   [22,]    334    349    365    332    304    243    243    252    266    282
##   [23,]    312    327    323    321    304    243    243    243    249    269
##   [24,]    293    304    310    309    304    284    243    243    243    264
##   [25,]    278    289    299    305    305    284    243    243    243    266
##   [26,]    263    274    283    292    304    258    243    243    243    272
##   [27,]    248    258    265    273    266    252    243    243    243    264
##   [28,]    240    243    248    251    253    246    242    242    243    253
##   [29,]    239    243    243    244    245    243    239    238    241    243
##   [30,]    239    243    243    243    243    241    232    234    238    241
##   [31,]    242    243    243    243    243    237    220    227    238    242
##   [32,]    242    243    242    243    243    223    182    213    243    243
##   [33,]    243    243    243    243    243    192    189    182    243    246
##   [34,]    243    243    243    243    226    184    184    182    243    249
##   [35,]    243    243    243    217    202    183    182    182    213    243
##   [36,]    220    228    216    203    182    185    183    182    213    243
##   [37,]    197    198    197    194    182    181    183    182    213    243
##   [38,]    182    185    187    186    182    179    181    182    213    243
##   [39,]    181    182    182    183    182    172    178    182    213    243
##   [40,]    182    182    182    182    162    147    172    182    213    243
##   [41,]    182    182    182    182    121    125    160    182    213    243
##   [42,]    182    182    165    131    126    122    152    182    212    243
##   [43,]    182    157    142    121    122    123    152    182    211    234
##   [44,]    182    150    121    130    122    121    155    182    206    219
##   [45,]    169    145    121    121    123    135    172    183    199    208
##   [46,]    148    121    129    121    121    145    165    182    190    195
##   [47,]    131    126    121    121    121    140    158    169    182    184
##   [48,]    121    122    121    121    121    134    145    157    171    182
##   [49,]    131    124    122    121    121    125    128    140    164    177
##   [50,]    120    120    122    121    121    121    121    121    160    179
##   [51,]    119    120    121    121    121    121    134    156    172    184
##   [52,]    118    120    121    121    121    131    154    182    178    198
##   [53,]    117    121    121    121    121    131    158    167    182    191
##   [54,]    118    121    121    121    121    130    153    164    171    179
##   [55,]    109    120    121    121    121    128    146    157    164    170
##   [56,]    115    121    121    121    121    125    137    150    157    163
##   [57,]    109    113    121    121    121    121    128    143    149    154
##   [58,]    103    109    112    117    119    120    121    136    142    146
##   [59,]     98    103    107    111    114    118    121    130    134    137
##   [60,]     91     97    101    106    110    116    121    124    126    128
##   [61,]     85     91     96    101    106    113    119    121    121    122
##   [62,]     80     85     91     97    105    113    118    121    121    121
##   [63,]     76     82     88     94    103    112    118    121    121    121
##   [64,]     75     80     86     92    102    113    121    120    121    121
##   [65,]     69     75     81     88     98    109    117    121    121    121
##   [66,]     60     67     74     80     90    100    106    113    121    121
##   [67,]     38     53     64     71     81     90     95    102    112    121
##   [68,]     15     33     48     60     70     76     80     85    100    121
##   [69,]      0     17     31     44     56     50     50     56     71     91
##   [70,]      0      7     14     21     22     20     20     33     47     60
##   [71,]      0      0      0      0      0      0      0      8     23     38
##   [72,]      0      0      0      0      0      0      0      0      0     15
##   [73,]      0      0      0      0      0      0      0      0      0      0
##   [74,]      0      0      0      0      0      0      0      0      0      0
##   [75,]      0      0      0      0      0      0      0      0      0      0
##   [76,]      0      0      0      0      0      0      0      0      0      0
##   [77,]      0      0      0      0      0      0      0      0      0      0
##   [78,]      0      0      0      0      0      0      0      0      0      0
##   [79,]      0      0      0      0      0      0      0      0      0      0
##   [80,]      0      0      0      0      0      0      0      0      0      0
##   [81,]      0      0      0      0      0      0      0      0      0      0
##   [82,]      0      0      0      0      0      0      0      0      0      0
##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,278] [,279] [,280] [,281] [,282] [,283] [,284] [,285] [,286] [,287]
##    [1,]    188    170    157    145    130    118    109    101     95     89
##    [2,]    195    183    163    147    135    126    118    111    105     98
##    [3,]    193    182    162    145    134    126    120    115    108    101
##    [4,]    189    182    167    145    134    127    122    117    110    104
##    [5,]    189    184    176    159    142    130    123    118    112    107
##    [6,]    193    188    183    167    145    132    123    118    114    109
##    [7,]    213    198    187    169    146    132    124    120    116    112
##    [8,]    233    210    190    166    143    131    124    123    120    115
##    [9,]    224    202    178    150    138    130    130    131    126    119
##   [10,]    238    208    180    159    141    137    142    143    134    124
##   [11,]    248    214    188    168    157    152    159    159    143    130
##   [12,]    263    243    196    176    170    171    177    181    171    123
##   [13,]    243    234    198    182    182    182    180    182    121    128
##   [14,]    245    233    210    182    186    184    182    157    132    122
##   [15,]    264    243    226    224    200    192    182    170    154    152
##   [16,]    282    272    247    244    235    211    194    182    175    175
##   [17,]    304    304    275    250    243    227    208    182    182    182
##   [18,]    304    304    299    274    254    238    234    214    198    208
##   [19,]    304    304    304    304    284    271    253    243    235    238
##   [20,]    304    304    304    304    304    296    281    265    251    242
##   [21,]    304    304    304    304    305    305    304    289    278    276
##   [22,]    293    300    304    304    306    307    304    304    298    300
##   [23,]    286    298    304    309    313    317    318    317    320    322
##   [24,]    285    304    305    316    322    331    340    352    365    356
##   [25,]    289    304    306    315    321    333    347    365    363    358
##   [26,]    304    298    304    306    304    322    340    365    365    354
##   [27,]    277    293    299    302    304    304    314    342    359    362
##   [28,]    259    269    283    297    301    304    304    329    344    360
##   [29,]    243    250    273    295    303    304    315    323    336    353
##   [30,]    242    243    266    297    301    304    304    313    329    347
##   [31,]    243    263    297    303    303    303    304    304    322    343
##   [32,]    273    304    302    306    317    314    314    314    323    341
##   [33,]    271    288    304    311    330    343    345    345    349    349
##   [34,]    267    284    301    310    356    363    365    365    364    361
##   [35,]    268    287    303    333    365    365    364    365    365    365
##   [36,]    270    298    303    328    342    357    365    365    365    365
##   [37,]    274    294    304    320    330    338    342    345    350    365
##   [38,]    274    304    303    308    313    318    319    314    322    349
##   [39,]    274    304    304    304    304    305    304    305    304    334
##   [40,]    273    304    304    304    304    300    300    301    312    327
##   [41,]    272    304    304    304    292    292    288    293    308    319
##   [42,]    269    304    304    304    284    276    270    278    298    312
##   [43,]    251    270    290    278    267    250    245    252    280    298
##   [44,]    230    243    258    258    253    243    243    243    264    278
##   [45,]    216    223    239    246    238    241    242    243    250    256
##   [46,]    200    203    207    204    225    229    238    243    243    243
##   [47,]    186    184    182    182    191    210    230    243    243    243
##   [48,]    182    182    182    182    182    182    220    243    243    243
##   [49,]    180    181    182    182    182    201    218    243    243    243
##   [50,]    180    181    182    182    182    199    216    228    243    243
##   [51,]    187    182    182    182    182    192    205    217    233    243
##   [52,]    212    223    182    182    182    182    192    205    226    243
##   [53,]    208    233    243    202    182    182    182    195    222    243
##   [54,]    189    212    235    243    226    190    182    190    218    243
##   [55,]    176    190    213    219    198    199    192    200    220    243
##   [56,]    168    176    190    195    185    185    193    203    219    243
##   [57,]    159    166    175    182    180    182    189    199    211    229
##   [58,]    149    155    162    160    163    170    178    187    195    213
##   [59,]    139    143    148    146    145    153    161    166    180    196
##   [60,]    129    132    133    132    128    137    141    149    168    180
##   [61,]    123    124    124    121    123    121    121    132    159    173
##   [62,]    121    121    121    122    121    121    121    121    153    168
##   [63,]    121    121    121    121    121    121    121    121    148    164
##   [64,]    121    121    121    121    121    121    121    142    158    166
##   [65,]    121    121    121    121    121    121    134    170    176    177
##   [66,]    121    121    121    121    121    121    155    179    182    182
##   [67,]    121    121    121    121    121    148    172    181    181    182
##   [68,]    121    121    121    121    121    149    182    182    182    182
##   [69,]    111    118    116    119    121    138    158    178    182    182
##   [70,]     81     93    104    112    118    121    145    162    182    182
##   [71,]     53     73     92    104    116    121    134    143    155    162
##   [72,]     30     53     78     96    121    120    121    121    121    121
##   [73,]      7     34     55     70     94    108    105    106    111    115
##   [74,]      0     16     42     60     72     82     85     92    102    109
##   [75,]      0      6     32     46     60     71     74     83     96    106
##   [76,]      0      0     15     29     41     54     62     63     80     91
##   [77,]      0      0      0     11     24     36     39     49     60     73
##   [78,]      0      0      0      0      5     17     23     30     41     54
##   [79,]      0      0      0      0      0      0      8     12     17     31
##   [80,]      0      0      0      0      0      0      0      0      0      7
##   [81,]      0      0      0      0      0      0      0      0      0      0
##   [82,]      0      0      0      0      0      0      0      0      0      0
##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,288] [,289] [,290] [,291] [,292] [,293] [,294] [,295] [,296] [,297]
##    [1,]     86     83     81     82     79     79     85     90     96     99
##    [2,]     95     94     93     91     88     87     89     94     99    101
##    [3,]     98     97     96     94     91     90     92     96    100    101
##    [4,]    101     99     98     95     93     93     95     99    101    102
##    [5,]    103    102    101     98     96     96     98    102    103    104
##    [6,]    106    104    103    100     99     99    101    104    105    106
##    [7,]    109    107    106    103    102    101    103    106    107    108
##    [8,]    111    109    109    106    105    104    105    107    109    110
##    [9,]    114    112    112    109    108    107    108    110    111    112
##   [10,]    118    115    114    112    110    110    111    112    113    114
##   [11,]    120    117    116    114    113    112    113    114    115    115
##   [12,]    119    119    119    116    115    115    116    116    117    117
##   [13,]    121    121    121    119    118    118    119    118    118    119
##   [14,]    134    149    145    130    121    124    121    120    120    120
##   [15,]    162    182    182    160    156    155    137    121    121    121
##   [16,]    189    199    200    199    193    190    171    165    140    132
##   [17,]    208    224    231    243    225    217    202    188    182    165
##   [18,]    233    242    245    243    243    239    223    204    189    183
##   [19,]    239    250    249    248    245    244    243    214    191    182
##   [20,]    253    258    254    249    246    244    243    213    182    182
##   [21,]    271    268    261    251    246    244    227    214    207    196
##   [22,]    304    281    267    249    243    243    231    222    218    214
##   [23,]    311    305    290    255    244    243    240    235    233    232
##   [24,]    320    308    304    282    271    259    243    243    243    243
##   [25,]    311    306    299    295    296    290    283    294    301    292
##   [26,]    329    304    304    304    316    308    304    306    305    302
##   [27,]    355    353    350    341    338    332    318    311    306    304
##   [28,]    365    365    365    365    360    355    329    316    304    305
##   [29,]    362    365    365    365    365    363    343    327    311    304
##   [30,]    355    361    365    365    365    365    356    342    328    320
##   [31,]    352    358    363    365    365    365    365    353    338    328
##   [32,]    350    356    361    364    365    365    365    365    353    341
##   [33,]    354    358    362    363    364    365    365    365    365    355
##   [34,]    361    362    363    364    364    365    365    365    366    366
##   [35,]    364    364    364    364    364    364    365    365    367    368
##   [36,]    365    365    365    365    364    364    365    365    369    373
##   [37,]    365    365    365    365    364    364    365    365    372    378
##   [38,]    359    361    360    360    360    362    364    367    374    383
##   [39,]    344    348    349    351    354    358    362    364    365    376
##   [40,]    334    337    340    344    348    355    361    365    365    365
##   [41,]    325    326    332    338    343    352    360    365    365    365
##   [42,]    318    319    326    332    339    349    358    365    365    365
##   [43,]    308    308    315    323    331    343    354    360    365    365
##   [44,]    284    297    304    314    324    338    351    359    365    365
##   [45,]    256    275    297    307    318    334    349    357    364    365
##   [46,]    245    243    282    304    315    332    348    357    363    364
##   [47,]    243    264    281    304    316    335    349    357    365    365
##   [48,]    243    264    285    304    329    350    354    359    365    365
##   [49,]    243    266    289    304    345    365    362    362    364    365
##   [50,]    243    274    304    316    351    365    365    365    359    359
##   [51,]    262    277    297    310    352    365    365    365    351    342
##   [52,]    258    274    291    304    340    365    360    350    345    331
##   [53,]    258    273    289    304    335    349    355    347    338    329
##   [54,]    258    273    288    304    327    342    346    344    336    326
##   [55,]    257    270    285    304    318    335    339    349    340    327
##   [56,]    252    263    276    287    305    326    343    365    357    331
##   [57,]    243    252    263    275    290    304    324    343    365    330
##   [58,]    226    238    248    262    277    292    301    314    315    318
##   [59,]    210    225    243    249    265    281    292    304    304    307
##   [60,]    190    205    220    235    252    268    279    289    299    304
##   [61,]    178    182    197    213    236    253    264    275    286    296
##   [62,]    174    178    181    190    217    238    249    260    278    291
##   [63,]    170    175    179    182    201    224    235    243    262    277
##   [64,]    171    175    178    180    192    216    227    237    243    262
##   [65,]    175    176    178    180    187    206    220    232    243    247
##   [66,]    182    180    180    181    185    201    214    227    237    243
##   [67,]    182    182    182    182    182    197    211    226    236    243
##   [68,]    182    182    182    182    182    199    215    233    243    243
##   [69,]    182    182    181    180    182    198    217    236    242    248
##   [70,]    182    168    174    176    181    191    209    226    243    248
##   [71,]    150    152    160    167    177    182    201    215    225    234
##   [72,]    121    137    146    159    176    188    195    203    210    211
##   [73,]    119    121    135    150    166    182    190    195    199    197
##   [74,]    118    120    121    138    152    164    174    184    184    181
##   [75,]    121    121    126    129    137    143    145    148    158    170
##   [76,]    103    115    121    122    124    124    117    115    119    133
##   [77,]     85     93     97    103    116     97     99     98    104    112
##   [78,]     67     69     70     76     75     71     78     79     87     94
##   [79,]     36     39     48     60     55     53     60     60     71     74
##   [80,]      9      9     12     26     24     30     29     42     49     54
##   [81,]      0      0      0      0      0      5      0     16     18     24
##   [82,]      0      0      0      0      0      0      0      0      0      0
##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,298] [,299] [,300] [,301] [,302] [,303] [,304] [,305] [,306] [,307]
##    [1,]    100    103    111    119    122    123    124    125    128    143
##    [2,]    101    103    111    119    123    125    124    123    122    141
##    [3,]    102    105    111    119    126    129    126    123    122    141
##    [4,]    103    106    111    118    125    128    127    124    122    127
##    [5,]    105    108    112    116    120    124    124    123    122    125
##    [6,]    107    110    113    116    118    121    122    122    121    127
##    [7,]    110    111    114    117    119    121    121    121    121    128
##    [8,]    112    113    115    117    119    121    121    121    122    128
##    [9,]    113    114    116    118    119    121    121    121    122    129
##   [10,]    115    116    117    119    120    121    121    121    122    128
##   [11,]    116    117    118    119    120    121    121    121    121    127
##   [12,]    117    118    119    119    120    120    121    121    121    125
##   [13,]    119    119    119    120    120    121    121    121    121    124
##   [14,]    120    120    120    120    121    121    121    121    121    121
##   [15,]    121    121    121    121    121    121    121    121    121    121
##   [16,]    126    121    121    121    121    121    121    121    121    121
##   [17,]    149    137    124    121    121    121    121    121    121    121
##   [18,]    174    152    139    131    125    121    121    121    121    121
##   [19,]    168    163    151    145    138    129    121    121    121    121
##   [20,]    175    167    159    154    146    138    130    121    121    121
##   [21,]    188    178    170    168    160    151    143    134    123    121
##   [22,]    209    198    182    182    174    165    156    146    133    121
##   [23,]    234    231    215    201    188    178    169    157    143    131
##   [24,]    260    255    243    227    208    192    182    168    153    139
##   [25,]    292    291    267    243    227    208    188    179    163    147
##   [26,]    304    304    304    257    243    227    200    182    172    155
##   [27,]    304    297    267    251    246    232    203    185    173    155
##   [28,]    288    277    246    244    225    212    182    186    169    156
##   [29,]    299    295    274    244    232    214    203    190    178    173
##   [30,]    312    308    304    253    243    225    217    210    205    194
##   [31,]    320    311    305    243    239    233    228    226    224    218
##   [32,]    329    317    296    275    254    242    242    253    255    246
##   [33,]    342    323    304    289    274    272    275    284    292    263
##   [34,]    359    339    320    304    296    295    299    306    303    293
##   [35,]    368    358    343    331    304    304    320    313    307    304
##   [36,]    375    374    373    372    365    353    339    319    307    290
##   [37,]    384    393    396    391    365    365    365    318    291    263
##   [38,]    392    411    425    412    365    358    330    309    277    245
##   [39,]    387    402    426    405    365    341    320    304    262    243
##   [40,]    371    380    389    396    371    339    304    306    281    260
##   [41,]    365    365    367    369    365    353    331    304    302    304
##   [42,]    365    365    365    366    366    365    347    324    304    305
##   [43,]    365    365    365    365    365    365    365    352    328    314
##   [44,]    365    365    365    365    365    365    365    365    365    341
##   [45,]    365    365    364    364    365    365    365    365    365    365
##   [46,]    365    365    364    364    364    365    365    365    365    365
##   [47,]    365    360    360    361    363    365    365    365    365    365
##   [48,]    365    350    352    356    359    363    365    365    365    365
##   [49,]    365    337    340    347    354    362    365    365    365    365
##   [50,]    365    314    323    335    348    365    364    365    365    365
##   [51,]    326    303    301    312    327    343    365    365    364    365
##   [52,]    319    296    282    293    304    323    347    363    359    361
##   [53,]    317    291    264    276    291    304    324    341    352    357
##   [54,]    315    279    247    251    267    283    298    318    336    344
##   [55,]    315    291    243    246    243    262    283    307    320    330
##   [56,]    312    298    243    244    244    243    262    290    308    317
##   [57,]    303    261    266    247    244    243    243    274    292    304
##   [58,]    308    269    243    246    243    240    243    261    276    285
##   [59,]    307    284    243    238    232    228    236    248    259    264
##   [60,]    305    274    242    226    211    198    216    238    245    246
##   [61,]    304    304    243    210    182    188    182    213    243    243
##   [62,]    304    304    243    214    182    182    184    193    223    243
##   [63,]    290    304    243    219    182    182    182    182    192    189
##   [64,]    275    296    263    243    182    182    182    182    182    182
##   [65,]    254    259    243    226    195    182    182    182    182    182
##   [66,]    243    246    248    243    218    199    182    182    182    182
##   [67,]    245    247    249    247    237    212    182    182    182    182
##   [68,]    248    252    257    259    257    243    215    182    182    182
##   [69,]    253    261    269    278    291    272    256    211    182    182
##   [70,]    253    263    273    285    304    304    304    233    182    182
##   [71,]    238    249    261    272    284    297    304    270    230    198
##   [72,]    217    228    243    255    267    276    274    254    252    243
##   [73,]    203    207    225    243    255    260    259    247    245    246
##   [74,]    185    183    193    213    227    228    233    237    244    243
##   [75,]    182    182    178    182    189    182    200    214    231    243
##   [76,]    170    162    159    163    166    163    176    190    206    223
##   [77,]    126    121    130    134    132    121    150    170    182    203
##   [78,]    107    113    118    123    118    119    127    154    182    187
##   [79,]     85     93    103    103    106    109    115    131    154    182
##   [80,]     67     76     86     89     92     96    101    113    120    133
##   [81,]     42     60     71     76     80     83     87    100    113    121
##   [82,]     10     32     47     64     66     68     69     86    102    115
##   [83,]      0      0      0     23     38     44     53     67     85     97
##         [,308] [,309] [,310] [,311] [,312] [,313] [,314] [,315] [,316] [,317]
##    [1,]    158    168    175    182    188    192    209    222    226    234
##    [2,]    157    168    176    183    190    195    210    223    232    238
##    [3,]    156    166    175    183    189    195    210    223    232    238
##    [4,]    141    157    170    179    185    193    206    218    228    236
##    [5,]    136    150    165    176    182    189    199    211    221    231
##    [6,]    138    151    163    174    180    185    193    203    213    220
##    [7,]    138    150    161    171    178    182    189    196    203    208
##    [8,]    138    148    159    169    177    182    186    189    192    196
##    [9,]    139    149    159    170    177    181    183    184    185    186
##   [10,]    138    149    159    169    177    181    182    182    182    182
##   [11,]    137    147    158    169    176    180    182    182    182    182
##   [12,]    137    146    157    169    178    181    182    182    182    182
##   [13,]    136    147    159    174    182    181    182    182    182    182
##   [14,]    127    140    156    175    181    182    182    182    182    182
##   [15,]    121    121    139    158    182    182    182    182    182    182
##   [16,]    121    121    121    131    157    172    176    180    181    182
##   [17,]    121    121    121    131    141    155    171    178    180    181
##   [18,]    121    121    121    121    127    146    171    180    182    182
##   [19,]    121    121    121    121    121    134    182    180    182    182
##   [20,]    121    121    121    121    121    121    155    182    182    182
##   [21,]    121    121    121    121    121    121    129    154    174    182
##   [22,]    121    121    121    121    121    121    121    133    153    168
##   [23,]    124    121    121    121    121    121    121    121    137    150
##   [24,]    132    126    121    121    121    121    121    121    121    133
##   [25,]    138    130    125    122    121    121    121    121    121    121
##   [26,]    144    133    127    124    121    121    121    121    121    121
##   [27,]    141    126    125    123    122    121    121    121    121    121
##   [28,]    140    121    121    122    121    121    121    121    121    121
##   [29,]    154    131    121    121    121    121    121    121    121    121
##   [30,]    182    155    121    121    121    121    121    121    121    121
##   [31,]    197    182    144    121    121    121    121    121    121    121
##   [32,]    229    182    162    134    121    121    121    121    121    121
##   [33,]    243    223    182    163    144    121    121    121    121    121
##   [34,]    269    243    220    191    172    135    121    121    121    121
##   [35,]    304    261    243    204    188    162    121    121    121    121
##   [36,]    269    253    226    192    177    153    121    121    121    121
##   [37,]    243    209    182    188    173    149    134    121    121    121
##   [38,]    226    199    186    182    179    156    138    124    121    121
##   [39,]    243    228    205    185    175    160    141    121    124    122
##   [40,]    250    243    216    182    176    157    144    121    121    122
##   [41,]    275    243    231    212    187    167    158    150    139    128
##   [42,]    304    243    243    239    225    182    179    182    182    161
##   [43,]    304    264    243    251    242    227    207    228    208    190
##   [44,]    323    304    288    276    271    263    243    246    243    215
##   [45,]    354    328    312    301    299    305    294    274    254    243
##   [46,]    365    347    333    332    335    320    308    304    271    254
##   [47,]    365    360    354    359    362    340    318    304    281    260
##   [48,]    365    365    365    364    365    345    324    304    281    259
##   [49,]    365    365    365    365    365    346    325    304    274    250
##   [50,]    365    365    365    365    365    348    325    304    263    243
##   [51,]    365    365    365    365    365    353    324    304    243    235
##   [52,]    364    365    365    365    365    351    312    299    259    238
##   [53,]    365    365    365    365    365    344    322    304    280    265
##   [54,]    352    361    365    365    365    359    327    309    298    283
##   [55,]    339    348    356    365    365    365    327    315    309    304
##   [56,]    326    335    343    351    358    335    320    313    309    307
##   [57,]    313    322    330    337    342    326    316    311    308    307
##   [58,]    296    309    317    321    329    321    315    311    309    307
##   [59,]    267    285    304    304    316    318    315    312    309    308
##   [60,]    241    254    268    279    302    310    310    310    309    307
##   [61,]    223    221    243    243    275    304    306    306    306    306
##   [62,]    202    182    207    230    254    290    304    305    305    305
##   [63,]    184    186    183    193    235    277    304    304    304    304
##   [64,]    182    183    182    205    231    272    304    304    304    304
##   [65,]    182    182    182    208    241    265    280    297    304    304
##   [66,]    182    182    192    205    232    254    266    279    290    304
##   [67,]    182    182    182    189    214    241    249    261    268    282
##   [68,]    182    182    182    182    199    243    242    243    243    259
##   [69,]    182    182    182    182    199    213    223    215    225    235
##   [70,]    182    182    182    182    182    186    182    182    199    216
##   [71,]    182    182    182    181    179    180    181    182    182    192
##   [72,]    213    182    182    180    173    175    178    181    182    204
##   [73,]    243    213    182    179    168    170    175    182    189    207
##   [74,]    244    243    228    171    137    151    163    177    188    213
##   [75,]    243    243    211    167    121    121    142    163    182    198
##   [76,]    229    216    203    167    121    121    121    147    172    182
##   [77,]    201    199    195    167    121    121    121    142    182    185
##   [78,]    190    190    188    169    130    121    121    121    145    170
##   [79,]    182    184    184    173    143    121    121    121    121    140
##   [80,]    165    182    182    177    155    137    121    121    121    121
##   [81,]    142    163    182    182    169    145    131    121    121    121
##   [82,]    127    142    153    170    168    149    133    123    121    119
##   [83,]    109    121    121    139    138    134    130    121    117    117
##         [,318] [,319] [,320] [,321] [,322] [,323] [,324] [,325] [,326] [,327]
##    [1,]    250    265    279    291    304    306    305    326    344    355
##    [2,]    251    266    279    291    304    307    306    327    344    355
##    [3,]    251    266    279    291    304    304    308    327    342    353
##    [4,]    245    257    270    277    285    291    304    310    327    346
##    [5,]    240    249    256    263    267    273    284    293    305    321
##    [6,]    229    237    243    249    252    256    267    276    288    302
##    [7,]    215    223    232    237    241    244    254    264    277    290
##    [8,]    201    210    221    231    237    242    248    260    278    292
##    [9,]    190    200    214    227    237    242    247    261    282    294
##   [10,]    185    195    211    227    237    242    246    257    271    284
##   [11,]    185    195    211    227    236    242    244    250    261    271
##   [12,]    182    190    200    217    233    243    243    241    245    258
##   [13,]    182    182    182    198    205    216    228    234    239    243
##   [14,]    182    182    182    182    182    191    216    225    234    240
##   [15,]    182    182    182    182    182    202    210    220    231    238
##   [16,]    182    182    182    182    185    196    207    215    228    239
##   [17,]    182    182    182    182    188    195    203    212    229    243
##   [18,]    182    182    182    182    188    194    200    204    223    242
##   [19,]    182    182    182    182    182    184    186    182    203    234
##   [20,]    182    182    182    182    182    182    182    183    182    215
##   [21,]    182    182    181    180    181    182    182    182    192    210
##   [22,]    182    176    173    176    179    181    182    182    188    206
##   [23,]    155    155    164    170    177    181    182    182    186    198
##   [24,]    135    139    153    164    174    180    182    182    182    185
##   [25,]    121    124    143    161    179    182    182    182    182    182
##   [26,]    121    121    121    153    182    182    182    182    182    182
##   [27,]    121    121    121    129    149    169    179    182    182    182
##   [28,]    121    121    121    121    121    141    162    182    182    177
##   [29,]    121    121    121    121    121    121    148    166    177    174
##   [30,]    121    121    121    121    121    121    127    148    157    167
##   [31,]    121    121    121    121    121    121    121    131    144    157
##   [32,]    121    121    121    121    121    121    121    121    130    146
##   [33,]    121    121    121    121    121    121    121    121    121    137
##   [34,]    121    121    121    121    121    121    121    121    122    134
##   [35,]    121    121    121    121    121    121    121    121    121    129
##   [36,]    121    121    121    121    121    121    121    121    121    121
##   [37,]    121    121    121    121    121    121    121    121    121    121
##   [38,]    121    121    121    121    121    121    121    121    121    121
##   [39,]    121    121    121    121    121    121    121    121    121    121
##   [40,]    122    121    121    121    121    121    121    121    121    121
##   [41,]    122    121    121    121    121    121    121    121    121    121
##   [42,]    139    121    121    121    121    121    121    121    121    121
##   [43,]    172    138    121    121    121    121    121    121    121    121
##   [44,]    182    162    137    121    121    121    121    121    121    121
##   [45,]    218    184    160    142    127    121    121    121    121    121
##   [46,]    243    211    182    160    141    121    121    121    121    121
##   [47,]    245    223    187    177    160    136    121    121    121    121
##   [48,]    249    224    189    185    182    143    130    121    121    121
##   [49,]    234    201    184    178    159    139    127    123    121    121
##   [50,]    213    184    178    169    154    133    121    121    122    121
##   [51,]    215    182    175    168    151    121    124    121    121    121
##   [52,]    224    200    182    186    173    154    134    124    121    121
##   [53,]    243    223    223    202    191    182    160    142    121    121
##   [54,]    265    241    247    233    213    192    177    166    149    137
##   [55,]    304    285    274    259    243    223    210    187    170    157
##   [56,]    305    304    304    293    272    252    235    211    188    176
##   [57,]    305    304    304    304    304    277    261    234    202    182
##   [58,]    306    305    304    304    304    298    290    265    220    193
##   [59,]    306    305    304    304    304    304    304    304    243    218
##   [60,]    305    304    304    304    304    304    304    304    304    243
##   [61,]    305    304    304    304    304    304    304    304    283    277
##   [62,]    305    304    304    304    304    304    304    304    292    284
##   [63,]    304    304    303    304    304    304    304    304    304    304
##   [64,]    304    303    301    301    304    304    304    303    304    304
##   [65,]    304    299    295    291    296    304    304    300    300    304
##   [66,]    304    289    279    270    278    291    304    282    284    294
##   [67,]    283    267    251    246    252    267    266    257    263    275
##   [68,]    257    255    243    243    243    243    249    242    243    256
##   [69,]    244    247    243    243    234    227    224    212    224    237
##   [70,]    238    246    248    243    223    199    182    182    198    215
##   [71,]    234    254    265    255    233    199    185    182    182    201
##   [72,]    231    273    304    304    258    243    182    182    182    182
##   [73,]    237    273    304    304    263    243    182    182    181    181
##   [74,]    249    270    293    294    254    238    197    182    180    177
##   [75,]    233    257    272    264    266    243    200    182    176    168
##   [76,]    215    238    251    252    249    245    221    182    159    135
##   [77,]    202    226    243    243    245    245    230    182    153    121
##   [78,]    192    211    224    237    243    243    238    182    158    121
##   [79,]    173    194    206    219    231    243    243    216    182    150
##   [80,]    149    173    188    200    213    222    240    233    196    175
##   [81,]    129    144    163    182    194    199    221    243    223    182
##   [82,]    121    121    142    166    182    182    207    230    243    202
##   [83,]    119    120    121    148    162    174    190    212    195    194
##         [,328] [,329] [,330] [,331] [,332] [,333] [,334] [,335] [,336] [,337]
##    [1,]    367    379    389    395    395    391    380    371    365    352
##    [2,]    367    378    388    393    393    391    382    372    367    353
##    [3,]    365    375    386    389    391    389    382    374    369    354
##    [4,]    358    366    375    382    385    383    379    373    370    365
##    [5,]    338    353    363    373    378    378    375    372    370    368
##    [6,]    312    329    347    361    369    372    372    371    370    368
##    [7,]    301    317    333    350    360    366    369    369    369    367
##    [8,]    300    312    323    335    350    359    364    366    367    366
##    [9,]    300    308    317    323    334    349    356    360    364    365
##   [10,]    292    300    306    308    315    328    341    350    358    363
##   [11,]    279    291    291    289    295    307    321    336    350    359
##   [12,]    263    269    271    268    275    288    301    313    337    357
##   [13,]    243    243    243    243    257    275    294    304    316    338
##   [14,]    242    243    243    243    243    260    286    297    304    327
##   [15,]    241    242    243    243    243    253    283    297    304    326
##   [16,]    242    243    243    243    243    267    297    303    315    330
##   [17,]    242    243    243    243    243    266    288    304    312    334
##   [18,]    243    243    243    243    243    259    282    295    304    336
##   [19,]    239    240    241    242    243    246    272    290    304    327
##   [20,]    226    233    238    241    243    251    266    286    304    319
##   [21,]    220    229    238    242    243    250    269    282    298    308
##   [22,]    217    228    243    242    243    248    262    274    288    304
##   [23,]    206    216    231    243    243    245    249    260    273    285
##   [24,]    188    191    191    182    213    224    236    243    255    267
##   [25,]    183    183    182    184    183    202    214    229    240    249
##   [26,]    182    182    182    182    182    182    195    215    230    239
##   [27,]    181    181    181    181    182    182    191    209    229    241
##   [28,]    178    180    181    182    182    182    202    220    243    241
##   [29,]    177    179    181    182    182    182    200    218    229    243
##   [30,]    172    178    182    182    182    182    196    211    222    228
##   [31,]    166    174    182    182    182    182    189    203    212    219
##   [32,]    157    168    176    181    182    182    185    194    202    209
##   [33,]    150    162    174    178    182    182    186    190    192    196
##   [34,]    146    159    178    181    182    182    182    183    182    182
##   [35,]    142    151    159    171    177    181    182    182    182    182
##   [36,]    127    129    141    156    171    180    182    182    182    182
##   [37,]    121    121    121    145    169    182    182    182    182    182
##   [38,]    121    121    136    147    170    182    182    182    182    182
##   [39,]    121    121    136    149    165    175    182    182    182    182
##   [40,]    121    123    135    146    161    172    176    180    182    182
##   [41,]    121    125    133    142    155    166    172    178    182    182
##   [42,]    121    126    133    139    151    162    169    176    182    182
##   [43,]    121    128    134    140    150    160    167    174    182    182
##   [44,]    121    128    134    140    148    157    164    171    182    182
##   [45,]    121    126    132    137    144    152    156    161    167    176
##   [46,]    121    124    129    133    137    143    146    149    152    156
##   [47,]    121    121    123    125    127    131    133    134    133    131
##   [48,]    121    121    121    121    122    123    124    124    121    123
##   [49,]    121    121    121    121    121    121    121    122    121    121
##   [50,]    121    121    121    121    121    121    121    121    121    121
##   [51,]    121    121    121    121    121    121    121    121    121    121
##   [52,]    121    121    121    121    120    119    120    121    121    121
##   [53,]    121    121    120    119    118    115    112    113    121    121
##   [54,]    126    121    119    117    115    109    101     93     88     91
##   [55,]    143    131    121    121    121    109     94     79     60     65
##   [56,]    158    144    134    124    121    121    104     82     60     60
##   [57,]    171    155    141    124    121    121    121     92     78     60
##   [58,]    178    162    148    127    121    121    112    104     95     78
##   [59,]    182    173    167    158    135    121    121    121    121    101
##   [60,]    203    182    191    182    161    147    135    129    124    121
##   [61,]    243    243    219    192    183    174    152    140    131    124
##   [62,]    269    249    243    200    182    166    164    147    134    125
##   [63,]    285    265    243    208    183    173    157    143    126    121
##   [64,]    304    286    260    228    193    182    162    145    130    121
##   [65,]    304    304    269    231    187    180    169    150    125    122
##   [66,]    304    279    268    236    208    182    182    164    145    121
##   [67,]    278    267    255    248    234    219    201    187    172    146
##   [68,]    262    255    249    246    245    243    224    203    182    163
##   [69,]    248    249    247    245    243    243    243    230    182    165
##   [70,]    232    243    245    244    243    243    243    208    182    172
##   [71,]    222    243    243    243    243    233    217    198    192    182
##   [72,]    196    231    243    243    243    223    191    185    184    184
##   [73,]    182    203    226    243    243    243    182    182    178    150
##   [74,]    180    188    212    239    243    243    233    199    176    147
##   [75,]    172    182    194    222    243    243    243    243    214    170
##   [76,]    152    167    182    208    236    243    243    243    227    176
##   [77,]    121    142    164    192    217    228    243    217    207    178
##   [78,]    121    121    135    177    200    207    204    201    193    180
##   [79,]    121    121    121    136    182    182    182    182    182    158
##   [80,]    150    130    121    121    133    137    145    145    133    132
##   [81,]    170    153    138    121    121    121    121    121    124    121
##   [82,]    182    167    152    129    121    121    121    121    121    122
##   [83,]    189    184    175    152    135    134    131    121    121    121
##         [,338] [,339] [,340] [,341] [,342] [,343] [,344] [,345] [,346] [,347]
##    [1,]    329    314    300    281    271    259    239    214    188    172
##    [2,]    329    314    300    289    277    266    254    221    191    173
##    [3,]    337    322    307    295    283    269    256    222    192    174
##    [4,]    356    338    321    308    294    277    260    222    193    174
##    [5,]    365    351    331    318    305    285    266    227    196    176
##    [6,]    366    354    333    318    301    284    264    227    199    182
##    [7,]    366    353    329    312    297    277    260    232    208    194
##    [8,]    366    355    335    316    298    278    258    243    229    219
##    [9,]    366    360    346    332    318    301    286    268    255    244
##   [10,]    365    364    357    346    335    322    309    297    280    265
##   [11,]    364    365    364    358    351    340    327    314    300    280
##   [12,]    365    365    365    365    365    359    345    328    309    293
##   [13,]    355    365    365    365    365    365    365    339    312    277
##   [14,]    348    365    365    365    365    365    365    346    317    294
##   [15,]    345    365    365    365    365    365    365    349    321    304
##   [16,]    348    365    365    365    365    365    365    350    316    277
##   [17,]    354    365    365    365    365    365    365    365    319    284
##   [18,]    365    362    364    364    365    365    365    365    333    304
##   [19,]    344    361    364    364    365    365    365    365    349    316
##   [20,]    333    351    365    365    365    365    366    366    365    345
##   [21,]    321    340    359    365    365    365    366    367    367    368
##   [22,]    311    328    345    356    365    365    367    368    369    374
##   [23,]    298    314    332    344    356    365    368    370    372    382
##   [24,]    280    299    317    331    348    365    369    371    376    387
##   [25,]    261    287    303    311    336    348    357    361    367    382
##   [26,]    243    280    304    318    326    335    341    347    357    365
##   [27,]    251    285    303    313    317    320    327    336    348    361
##   [28,]    255    290    304    304    304    304    313    322    336    350
##   [29,]    243    271    304    290    292    299    304    319    333    343
##   [30,]    235    247    253    266    275    282    291    304    319    329
##   [31,]    225    235    243    243    259    265    275    291    304    314
##   [32,]    216    230    243    247    247    249    260    279    299    304
##   [33,]    201    222    243    243    243    243    243    270    304    304
##   [34,]    182    206    235    240    242    243    243    255    269    278
##   [35,]    182    204    222    234    242    243    243    245    243    256
##   [36,]    182    202    221    240    242    243    243    243    243    243
##   [37,]    182    198    212    226    243    243    240    242    243    243
##   [38,]    182    188    190    205    220    228    238    241    243    243
##   [39,]    182    182    183    182    207    219    230    240    243    243
##   [40,]    182    182    182    206    201    214    224    238    243    243
##   [41,]    182    182    182    201    208    211    217    227    236    238
##   [42,]    182    182    182    196    201    206    209    215    220    221
##   [43,]    182    182    182    189    193    196    196    202    206    206
##   [44,]    182    182    182    182    184    185    182    188    191    191
##   [45,]    182    182    182    182    182    183    182    183    184    185
##   [46,]    175    182    182    182    182    177    178    181    182    182
##   [47,]    147    157    159    159    158    167    172    179    182    182
##   [48,]    121    135    136    136    141    150    158    169    182    182
##   [49,]    122    121    121    121    131    140    148    159    165    161
##   [50,]    121    121    121    121    121    126    134    142    147    141
##   [51,]    121    121    121    120    120    121    121    126    127    121
##   [52,]    121    121    119    117    116    119    121    122    118    119
##   [53,]    121    121    114    109    106    108    109    108    110    113
##   [54,]    121    112    103     98     94     95     94     93    101    106
##   [55,]     72     89     86     84     82     81     78     78     90     98
##   [56,]     61     66     71     71     70     68     64     64     78     89
##   [57,]     60     60     60     62     63     60     62     60     66     77
##   [58,]     60     60     60     60     60     60     60     60     60     65
##   [59,]     71     60     60     60     60     60     60     60     60     60
##   [60,]     89     60     60     60     60     60     60     60     60     60
##   [61,]    108     74     60     60     60     60     60     60     60     60
##   [62,]    110     80     60     60     60     60     60     60     60     60
##   [63,]    103     78     60     60     60     60     60     60     60     60
##   [64,]    107     71     60     60     60     60     60     60     60     60
##   [65,]     95     60     61     60     60     60     60     60     60     60
##   [66,]     99     60     60     60     60     60     60     60     60     60
##   [67,]    118     60     60     60     60     60     60     60     60     60
##   [68,]    130     60     60     60     60     60     60     60     60     60
##   [69,]    133     81     60     60     60     60     60     60     60     60
##   [70,]    145    121     60     60     60     60     60     60     60     60
##   [71,]    153    121    101     60     60     60     60     60     60     60
##   [72,]    157    129    121     60     60     60     60     60     60     60
##   [73,]    121    121     94     60     60     60     60     60     60     60
##   [74,]    125    115     95     60     60     60     60     60     60     60
##   [75,]    142    127    121     60     60     60     60     60     60     61
##   [76,]    151    134    121     71     60     61     60     60     62     62
##   [77,]    154    137    121     60     68     62     61     60     66     67
##   [78,]    154    134    121     60     61     62     61     76     81     83
##   [79,]    139    121     60     86     64     61     81     97    103    106
##   [80,]    130    121     76     60     65     60     90    121    121    121
##   [81,]    121    100     94     81     60     60     88    121    121    121
##   [82,]    121    105     97     91     77     60     91     89    108    121
##   [83,]    121    117    115    113     98     89     65     60     72     77
##         [,348] [,349] [,350] [,351] [,352] [,353] [,354] [,355] [,356] [,357]
##    [1,]    158    140    122    112    110    110    115    146    173    180
##    [2,]    159    141    131    124    117    113    116    147    173    182
##    [3,]    159    141    131    125    119    114    117    147    173    187
##    [4,]    157    140    129    124    120    117    118    128    148    165
##    [5,]    159    141    133    125    123    121    120    122    134    147
##    [6,]    174    163    143    131    131    125    122    122    124    137
##    [7,]    192    183    173    157    142    131    125    124    126    142
##    [8,]    213    201    188    176    157    139    129    127    134    156
##    [9,]    235    216    199    182    162    141    130    126    127    135
##   [10,]    251    229    205    184    161    142    130    124    123    124
##   [11,]    261    224    202    181    157    139    129    124    122    121
##   [12,]    264    243    197    178    161    137    121    121    121    121
##   [13,]    243    231    210    182    167    150    136    121    121    121
##   [14,]    243    224    206    182    173    165    157    144    132    125
##   [15,]    243    227    211    199    182    182    182    167    156    145
##   [16,]    243    233    224    216    210    212    200    188    176    164
##   [17,]    243    243    240    236    234    243    227    209    195    182
##   [18,]    272    243    243    242    242    242    243    221    210    206
##   [19,]    297    276    258    258    261    252    243    238    232    234
##   [20,]    332    304    288    302    307    273    264    243    243    261
##   [21,]    367    350    335    349    350    298    309    306    288    292
##   [22,]    376    378    381    385    381    365    365    365    304    309
##   [23,]    389    397    405    416    415    412    397    384    372    345
##   [24,]    398    410    426    423    426    426    426    410    395    380
##   [25,]    396    411    426    426    426    426    426    426    418    403
##   [26,]    387    406    426    426    426    426    426    426    426    426
##   [27,]    371    391    416    426    426    426    426    426    426    426
##   [28,]    358    365    391    413    420    426    426    426    426    426
##   [29,]    353    365    377    382    398    416    426    426    426    426
##   [30,]    339    348    357    362    378    399    413    426    426    426
##   [31,]    324    331    338    347    361    380    398    413    426    426
##   [32,]    309    311    322    333    349    365    381    396    410    422
##   [33,]    304    301    304    316    336    355    365    381    396    411
##   [34,]    281    290    297    303    318    344    359    369    381    396
##   [35,]    265    278    289    299    304    328    344    356    365    382
##   [36,]    250    270    286    302    308    320    332    347    360    369
##   [37,]    257    264    279    291    304    313    323    335    346    356
##   [38,]    255    265    272    283    294    304    314    328    338    347
##   [39,]    251    256    259    269    281    295    304    316    325    334
##   [40,]    243    243    243    253    267    281    291    304    313    321
##   [41,]    236    230    234    240    249    262    268    282    297    309
##   [42,]    218    214    220    227    234    243    243    259    277    291
##   [43,]    204    198    205    213    218    229    237    243    259    273
##   [44,]    189    182    191    200    203    214    226    236    243    256
##   [45,]    185    182    182    187    188    199    215    228    239    243
##   [46,]    183    182    181    182    182    182    208    226    243    261
##   [47,]    182    181    180    181    182    190    205    225    243    262
##   [48,]    170    175    176    180    182    197    213    226    243    259
##   [49,]    162    167    172    178    182    197    213    228    243    255
##   [50,]    148    155    163    174    182    197    212    227    243    246
##   [51,]    133    143    153    169    182    196    211    226    243    243
##   [52,]    121    127    140    162    182    192    206    220    235    243
##   [53,]    116    120    121    152    173    182    197    206    214    218
##   [54,]    112    117    121    143    167    182    186    189    191    192
##   [55,]    106    114    121    139    160    171    182    179    181    182
##   [56,]     98    108    118    132    152    162    168    174    179    182
##   [57,]     88    100    111    127    143    153    162    170    179    182
##   [58,]     76     90    103    120    133    143    154    165    177    182
##   [59,]     60     78     92    108    121    131    141    153    163    167
##   [60,]     60     70     84    102    121    121    131    145    153    157
##   [61,]     60     63     75     90    105    114    121    133    139    143
##   [62,]     60     60     66     76     93    104    114    121    124    124
##   [63,]     60     60     60     63     82     94    106    116    121    121
##   [64,]     60     60     60     60     72     83     94    103    108    118
##   [65,]     60     60     60     60     68     73     82     91    100    111
##   [66,]     60     60     60     60     60     60     70     79     89    105
##   [67,]     60     60     60     60     60     60     60     65     75     94
##   [68,]     60     60     60     60     60     60     60     60     60     82
##   [69,]     60     60     60     60     60     60     60     60     66     75
##   [70,]     60     60     60     60     60     60     60     60     60     65
##   [71,]     60     60     60     60     60     60     60     60     60     60
##   [72,]     60     60     60     60     60     60     60     60     60     60
##   [73,]     60     60     60     60     60     60     60     60     60     60
##   [74,]     60     60     60     60     60     60     60     60     60     60
##   [75,]     60     60     60     60     60     60     60     60     60     60
##   [76,]     61     60     60     60     60     60     60     60     60     60
##   [77,]     60     60     60     60     60     60     60     60     60     60
##   [78,]     73     65     62     61     60     60     60     60     60     59
##   [79,]     86     74     67     62     61     60     60     60     60     59
##   [80,]     96     80     69     63     61     60     60     60     60     58
##   [81,]    102     83     66     62     61     60     60     60     60     58
##   [82,]     96     79     61     61     60     60     60     60     60     57
##   [83,]     80     73     60     61     60     60     60     60     60     56
##         [,358] [,359] [,360] [,361] [,362] [,363] [,364] [,365] [,366] [,367]
##    [1,]    182    212    243    263    275    282    265    249    218    202
##    [2,]    184    214    243    263    275    279    264    249    218    202
##    [3,]    191    217    245    264    276    271    257    240    211    196
##    [4,]    189    228    257    270    272    258    247    220    205    193
##    [5,]    178    234    273    286    283    265    240    213    196    188
##    [6,]    173    235    274    291    290    266    240    212    194    182
##    [7,]    174    236    275    291    283    262    237    210    190    178
##    [8,]    178    209    250    259    255    243    226    205    186    171
##    [9,]    158    189    217    225    218    211    197    184    170    158
##   [10,]    139    166    179    192    190    181    175    164    154    145
##   [11,]    129    143    155    161    159    154    151    145    138    133
##   [12,]    121    125    130    131    130    129    128    126    122    123
##   [13,]    121    121    121    121    121    121    121    121    121    127
##   [14,]    121    121    121    121    121    121    121    121    121    126
##   [15,]    133    121    121    121    121    121    121    121    121    121
##   [16,]    149    129    121    121    121    121    121    121    121    182
##   [17,]    174    161    131    121    121    121    121    121    126    170
##   [18,]    203    188    162    137    121    121    121    121    121    147
##   [19,]    233    218    182    159    133    121    121    121    121    129
##   [20,]    254    245    205    182    163    143    121    121    121    121
##   [21,]    274    250    222    207    192    172    152    126    121    121
##   [22,]    304    256    233    227    220    199    182    145    121    121
##   [23,]    304    278    254    249    245    229    198    164    131    121
##   [24,]    365    297    277    267    255    245    243    176    153    138
##   [25,]    385    353    297    282    268    251    236    208    175    160
##   [26,]    402    378    365    304    289    269    256    233    204    182
##   [27,]    412    382    365    335    304    280    266    249    223    201
##   [28,]    420    389    360    339    304    293    280    263    243    224
##   [29,]    426    416    387    365    337    304    294    281    259    243
##   [30,]    426    426    416    396    379    370    335    305    284    267
##   [31,]    426    426    426    426    410    392    377    335    310    291
##   [32,]    426    426    426    426    426    410    397    377    347    305
##   [33,]    426    426    426    426    426    426    414    393    373    365
##   [34,]    415    426    426    426    426    426    426    409    382    365
##   [35,]    403    426    426    426    426    426    426    421    395    378
##   [36,]    388    408    421    426    426    426    426    426    409    388
##   [37,]    372    393    405    426    426    426    426    426    426    408
##   [38,]    361    380    387    408    426    426    426    426    426    426
##   [39,]    348    359    363    379    407    420    426    426    426    426
##   [40,]    335    345    353    360    365    386    411    426    426    426
##   [41,]    322    335    343    352    360    365    389    418    426    426
##   [42,]    309    324    335    346    356    365    382    404    426    426
##   [43,]    294    310    326    339    351    365    375    389    405    419
##   [44,]    284    304    316    330    341    351    365    371    382    396
##   [45,]    281    304    311    319    326    333    335    347    360    373
##   [46,]    290    299    303    306    309    311    311    313    336    346
##   [47,]    288    304    303    303    305    305    294    301    312    326
##   [48,]    276    291    304    304    289    278    275    286    296    304
##   [49,]    268    279    283    279    275    261    261    275    286    296
##   [50,]    253    259    261    257    249    245    246    260    273    285
##   [51,]    244    246    246    243    244    243    243    243    262    275
##   [52,]    243    243    241    240    242    243    243    247    256    268
##   [53,]    229    232    235    238    240    242    243    251    259    265
##   [54,]    208    222    229    235    240    243    243    250    257    263
##   [55,]    191    212    223    233    243    243    243    249    254    260
##   [56,]    190    202    214    224    237    243    243    247    250    255
##   [57,]    189    192    202    208    219    232    243    243    243    249
##   [58,]    183    182    187    189    207    222    234    241    243    243
##   [59,]    171    177    179    182    188    209    225    239    243    245
##   [60,]    163    171    177    182    193    199    220    243    242    246
##   [61,]    149    159    171    182    190    199    209    224    233    236
##   [62,]    121    138    158    170    182    190    195    207    210    216
##   [63,]    121    127    144    154    162    172    178    188    189    199
##   [64,]    121    128    133    137    139    148    162    175    182    182
##   [65,]    121    121    122    123    122    128    147    166    177    186
##   [66,]    121    121    121    121    121    122    131    153    160    170
##   [67,]    108    115    118    120    121    121    131    139    142    149
##   [68,]     96    104    110    117    121    121    122    125    121    126
##   [69,]     88     98    106    114    121    121    121    121    121    121
##   [70,]     76     88     99    110    121    121    118    110    113    117
##   [71,]     60     77     89     99    108    121    102    101    106    113
##   [72,]     60     68     76     83     90     87     82     73     91    103
##   [73,]     60     60     63     66     69     71     64     60     69     85
##   [74,]     60     60     60     61     62     62     61     60     60     67
##   [75,]     60     60     59     59     60     60     59     59     60     60
##   [76,]     59     58     57     56     57     55     57     57     59     63
##   [77,]     58     57     55     54     53     52     53     52     54     56
##   [78,]     57     55     53     51     50     48     48     46     47     49
##   [79,]     56     53     51     48     46     43     42     40     40     41
##   [80,]     55     52     49     46     44     40     39     36     35     35
##   [81,]     53     50     46     43     40     36     33     29     27     26
##   [82,]     52     47     44     40     36     31     26     23     19     17
##   [83,]     50     45     41     37     32     26     20     16     11      8
##         [,368] [,369] [,370] [,371] [,372] [,373] [,374] [,375] [,376] [,377]
##    [1,]    198    191    189    194    194    196    193    192    198    216
##    [2,]    191    186    186    186    187    190    187    184    195    214
##    [3,]    188    184    184    182    182    185    181    178    185    202
##    [4,]    185    181    178    175    175    176    170    169    172    182
##    [5,]    181    176    172    167    164    163    159    157    161    167
##    [6,]    174    168    162    155    151    149    146    145    149    154
##    [7,]    167    158    151    144    139    137    135    134    138    142
##    [8,]    159    148    140    134    131    129    126    126    128    130
##    [9,]    147    139    132    130    131    130    126    124    125    125
##   [10,]    137    133    132    132    136    132    129    130    128    127
##   [11,]    131    133    136    138    144    134    147    137    132    148
##   [12,]    131    136    143    148    152    185    190    193    194    198
##   [13,]    138    156    168    182    184    202    212    225    230    243
##   [14,]    129    175    184    191    208    223    236    248    256    258
##   [15,]    182    173    192    205    225    243    256    270    285    280
##   [16,]    170    188    197    213    237    250    268    288    304    304
##   [17,]    182    192    204    218    239    256    272    295    302    303
##   [18,]    182    189    199    211    227    243    257    276    293    304
##   [19,]    148    171    187    198    215    233    243    261    291    304
##   [20,]    121    141    163    182    202    223    235    243    304    302
##   [21,]    121    121    140    164    190    213    228    243    284    304
##   [22,]    121    121    121    151    186    202    216    229    243    263
##   [23,]    121    121    121    129    160    188    200    212    224    236
##   [24,]    121    121    121    121    131    161    182    194    206    215
##   [25,]    144    129    121    121    121    131    152    172    188    191
##   [26,]    167    152    137    121    121    121    121    142    155    167
##   [27,]    182    167    152    136    121    121    121    121    138    151
##   [28,]    207    192    175    157    130    121    121    121    121    131
##   [29,]    228    221    202    182    150    121    121    121    121    121
##   [30,]    256    248    233    208    169    121    121    121    121    127
##   [31,]    286    270    253    243    195    148    121    121    121    121
##   [32,]    306    295    271    250    207    165    148    130    121    121
##   [33,]    316    304    292    263    213    182    167    153    137    121
##   [34,]    342    306    296    270    233    203    190    175    160    155
##   [35,]    365    304    288    256    233    227    220    201    182    182
##   [36,]    365    325    299    276    256    252    243    222    209    192
##   [37,]    388    365    338    297    286    277    258    249    235    220
##   [38,]    406    386    365    320    304    291    279    271    259    243
##   [39,]    426    416    396    365    331    313    298    296    292    278
##   [40,]    426    426    426    396    365    345    351    365    324    304
##   [41,]    426    426    426    421    396    383    383    376    369    352
##   [42,]    426    426    426    426    426    426    426    404    385    365
##   [43,]    426    426    426    426    428    432    434    430    416    395
##   [44,]    409    426    426    426    430    439    448    445    436    426
##   [45,]    377    397    416    426    434    449    466    465    455    441
##   [46,]    358    365    386    417    438    460    487    487    474    456
##   [47,]    345    357    365    402    426    458    487    487    487    464
##   [48,]    327    342    359    386    426    443    455    471    478    474
##   [49,]    304    323    345    376    406    426    438    450    457    466
##   [50,]    296    304    328    363    391    406    420    432    442    456
##   [51,]    288    296    304    347    375    392    404    415    426    453
##   [52,]    279    289    297    318    365    378    390    402    413    431
##   [53,]    274    282    291    301    331    365    376    389    401    420
##   [54,]    270    277    285    295    304    332    365    376    388    405
##   [55,]    266    273    279    290    299    304    331    365    374    390
##   [56,]    261    268    274    284    293    299    304    329    355    376
##   [57,]    256    263    269    278    287    294    300    304    332    358
##   [58,]    252    259    265    274    283    290    298    304    321    348
##   [59,]    249    254    260    267    276    284    293    302    309    339
##   [60,]    248    249    252    256    266    277    287    297    304    333
##   [61,]    238    239    240    242    250    268    283    297    304    325
##   [62,]    222    227    231    238    243    262    281    304    308    314
##   [63,]    209    216    227    237    243    258    270    281    293    296
##   [64,]    197    206    218    231    243    251    256    260    270    273
##   [65,]    190    195    204    215    223    231    235    240    250    251
##   [66,]    182    182    188    196    200    201    210    225    233    240
##   [67,]    149    151    164    177    181    182    189    211    224    235
##   [68,]    121    121    130    161    176    182    194    201    217    235
##   [69,]    122    121    121    154    175    182    196    209    219    239
##   [70,]    121    121    132    158    182    187    199    212    225    243
##   [71,]    121    121    135    158    170    182    199    210    220    236
##   [72,]    116    121    135    153    168    182    193    202    210    219
##   [73,]    100    112    129    149    164    182    188    192    196    198
##   [74,]     86    101    120    137    153    163    175    183    184    172
##   [75,]     73     85    105    121    139    147    154    155    152    141
##   [76,]     65     67     91    115    126    128    130    128    127    112
##   [77,]     60     60     73     99    104    108    107    106     98     85
##   [78,]     53     56     67     84     87     89     86     84     72     62
##   [79,]     45     48     57     70     69     71     71     67     62     60
##   [80,]     38     41     49     60     60     64     64     60     60     61
##   [81,]     28     29     35     42     49     54     53     55     57     60
##   [82,]     16     17     20     27     32     37     37     44     52     60
##   [83,]      4      4      5     13     16     23     25     32     40     50
##         [,378] [,379] [,380] [,381] [,382] [,383] [,384] [,385] [,386] [,387]
##    [1,]    231    239    242    246    249    262    274    284    294    302
##    [2,]    230    233    232    233    237    257    272    281    289    300
##    [3,]    215    219    220    215    220    240    251    263    278    291
##    [4,]    192    191    195    194    199    210    222    234    249    265
##    [5,]    173    178    178    179    183    193    206    218    231    249
##    [6,]    158    163    165    169    173    181    192    204    221    235
##    [7,]    144    148    153    160    167    174    183    195    211    228
##    [8,]    133    135    141    149    158    169    178    190    200    213
##    [9,]    125    126    130    137    142    154    168    181    189    199
##   [10,]    129    127    124    128    131    137    148    163    175    187
##   [11,]    136    133    126    123    123    126    133    151    166    178
##   [12,]    192    157    129    121    121    121    121    130    174    180
##   [13,]    243    196    155    139    121    121    121    182    182    182
##   [14,]    253    209    176    168    175    186    196    217    228    202
##   [15,]    268    249    182    182    191    206    220    244    259    255
##   [16,]    282    252    182    182    199    212    226    251    274    289
##   [17,]    304    268    213    182    203    218    230    257    297    301
##   [18,]    304    295    265    243    217    228    235    259    304    306
##   [19,]    304    304    294    274    261    259    258    278    304    310
##   [20,]    304    304    304    304    304    304    292    299    315    318
##   [21,]    304    304    304    304    304    304    304    309    323    330
##   [22,]    282    289    304    304    304    304    304    315    330    341
##   [23,]    252    268    283    294    300    304    304    317    332    345
##   [24,]    225    243    259    269    277    291    304    309    325    338
##   [25,]    193    215    235    256    261    275    288    302    317    332
##   [26,]    179    182    213    237    243    251    274    297    307    318
##   [27,]    176    182    203    226    243    257    265    294    304    306
##   [28,]    179    195    206    222    243    252    263    277    292    298
##   [29,]    166    189    202    215    227    243    252    259    262    274
##   [30,]    147    174    188    200    212    222    236    243    242    252
##   [31,]    129    151    166    182    194    199    213    226    237    243
##   [32,]    121    129    144    159    170    178    190    206    223    232
##   [33,]    121    121    121    136    139    153    169    189    207    215
##   [34,]    138    121    121    121    121    129    144    164    188    191
##   [35,]    179    182    142    121    121    121    121    132    155    170
##   [36,]    188    189    182    148    121    121    121    121    138    145
##   [37,]    219    208    196    186    167    133    121    121    121    121
##   [38,]    243    228    212    195    182    161    131    121    121    121
##   [39,]    267    248    234    208    190    176    158    153    152    152
##   [40,]    294    261    243    225    209    197    182    182    182    182
##   [41,]    313    281    255    238    226    219    215    216    218    228
##   [42,]    342    304    285    265    243    243    243    243    243    245
##   [43,]    374    350    319    294    279    272    276    289    292    272
##   [44,]    402    381    365    365    304    298    300    314    312    304
##   [45,]    425    415    413    391    374    335    329    340    337    323
##   [46,]    444    439    434    426    405    384    365    365    365    345
##   [47,]    454    452    450    441    426    406    384    367    365    365
##   [48,]    469    471    478    475    455    433    405    367    360    331
##   [49,]    477    482    487    487    487    449    419    384    365    304
##   [50,]    475    484    486    487    469    455    433    393    365    304
##   [51,]    487    487    486    487    468    454    433    396    365    304
##   [52,]    471    478    478    467    459    450    432    399    365    325
##   [53,]    438    451    456    452    448    441    431    411    391    365
##   [54,]    421    432    440    438    436    434    431    428    417    397
##   [55,]    406    417    426    429    429    430    431    431    430    426
##   [56,]    392    405    417    426    426    429    433    436    437    437
##   [57,]    377    395    410    422    426    431    436    442    447    452
##   [58,]    365    389    406    426    428    433    439    447    455    464
##   [59,]    365    380    393    403    417    429    431    443    455    470
##   [60,]    365    373    377    382    388    391    405    426    444    464
##   [61,]    342    354    357    357    357    359    369    397    418    439
##   [62,]    321    331    333    334    334    338    353    365    398    426
##   [63,]    300    311    311    312    312    315    338    359    373    393
##   [64,]    279    285    292    298    302    304    318    342    352    365
##   [65,]    252    263    276    290    301    309    320    326    333    336
##   [66,]    243    243    261    285    304    304    307    309    311    311
##   [67,]    242    243    253    277    304    304    304    304    304    304
##   [68,]    243    243    260    275    285    296    274    274    259    253
##   [69,]    242    243    256    267    277    272    258    243    248    244
##   [70,]    243    243    247    252    256    251    242    241    242    243
##   [71,]    243    243    243    243    243    239    234    237    238    240
##   [72,]    231    235    236    235    230    224    227    231    234    238
##   [73,]    201    210    216    214    213    212    219    225    229    234
##   [74,]    172    189    198    198    198    200    211    217    223    230
##   [75,]    121    121    182    182    182    187    201    208    215    223
##   [76,]    110    129    123    121    137    175    187    190    192    194
##   [77,]     91    103    117    121    136    154    182    164    166    169
##   [78,]     69     91    110    121    130    142    146    145    150    156
##   [79,]     60     78    102    121    121    124    125    120    128    138
##   [80,]     60     75     89    101    121     96     94    105    114    121
##   [81,]     60     64     70     72     69     67     68     83     96    109
##   [82,]     60     60     60     58     59     60     60     67     81     97
##   [83,]     55     55     52     53     55     58     60     60     66     89
##         [,388] [,389] [,390] [,391] [,392] [,393] [,394] [,395] [,396] [,397]
##    [1,]    306    322    342    357    368    374    371    362    357    357
##    [2,]    303    320    341    356    369    377    376    370    367    365
##    [3,]    295    311    332    351    368    379    385    380    373    368
##    [4,]    281    296    315    343    371    387    399    395    381    370
##    [5,]    267    286    305    338    375    402    416    411    390    370
##    [6,]    252    269    286    323    363    393    411    398    385    363
##    [7,]    241    255    271    294    329    357    370    364    350    337
##    [8,]    225    237    251    268    293    315    325    314    306    296
##    [9,]    209    216    229    241    256    269    274    273    267    256
##   [10,]    194    199    206    216    227    239    239    232    228    225
##   [11,]    183    186    190    196    202    203    194    200    197    199
##   [12,]    181    182    182    182    182    182    182    184    183    182
##   [13,]    182    182    182    182    182    182    182    182    182    187
##   [14,]    182    182    182    182    182    182    182    182    182    189
##   [15,]    259    250    213    192    182    182    182    182    182    192
##   [16,]    304    281    258    243    223    182    182    182    182    182
##   [17,]    302    304    280    268    255    247    213    182    182    182
##   [18,]    305    304    294    284    276    269    256    243    182    182
##   [19,]    315    313    308    299    295    295    280    265    252    213
##   [20,]    326    328    324    322    309    310    304    289    281    262
##   [21,]    340    346    344    343    340    336    324    314    308    294
##   [22,]    355    365    365    365    365    365    349    339    327    315
##   [23,]    360    364    365    369    375    377    372    359    347    334
##   [24,]    352    365    365    373    386    398    400    390    365    353
##   [25,]    347    365    365    377    394    414    426    426    394    365
##   [26,]    330    347    365    383    406    426    425    426    427    411
##   [27,]    304    324    348    374    398    411    426    426    430    434
##   [28,]    300    304    328    362    383    397    411    426    436    459
##   [29,]    287    298    304    338    365    379    396    412    426    487
##   [30,]    269    285    298    318    341    357    374    393    415    436
##   [31,]    252    270    282    298    319    334    350    365    385    405
##   [32,]    243    256    268    280    296    312    327    339    352    375
##   [33,]    228    243    253    259    267    278    304    309    304    304
##   [34,]    206    215    226    230    233    235    240    274    259    279
##   [35,]    182    182    182    191    202    211    223    231    240    243
##   [36,]    149    160    162    178    182    196    210    222    233    243
##   [37,]    121    130    131    150    169    182    194    207    220    232
##   [38,]    121    121    121    121    143    162    182    192    205    218
##   [39,]    145    130    121    121    121    132    152    172    188    200
##   [40,]    182    161    140    121    121    121    121    142    164    182
##   [41,]    208    191    172    142    121    121    121    121    140    160
##   [42,]    243    222    199    172    142    121    121    121    121    141
##   [43,]    257    243    224    198    172    152    130    121    121    126
##   [44,]    283    263    243    219    195    182    155    121    121    121
##   [45,]    309    294    263    236    209    192    182    151    130    121
##   [46,]    320    304    278    250    219    192    182    163    153    126
##   [47,]    324    304    282    252    223    182    175    170    166    150
##   [48,]    314    299    277    252    231    186    182    181    189    179
##   [49,]    296    278    260    245    222    212    203    209    209    201
##   [50,]    285    268    243    244    238    232    234    235    235    222
##   [51,]    290    276    263    243    243    243    260    263    252    243
##   [52,]    300    294    294    286    335    292    292    294    279    262
##   [53,]    304    304    335    365    355    365    335    324    304    279
##   [54,]    376    335    375    397    411    389    371    365    330    290
##   [55,]    406    406    405    426    426    426    393    365    345    293
##   [56,]    435    437    441    435    446    426    411    384    365    298
##   [57,]    459    470    480    477    487    470    426    400    365    331
##   [58,]    475    487    484    487    487    463    454    426    392    356
##   [59,]    487    485    486    487    487    472    451    426    409    390
##   [60,]    487    487    486    487    487    487    469    447    426    426
##   [61,]    487    469    468    481    487    487    480    465    458    455
##   [62,]    426    426    435    458    467    474    481    480    480    484
##   [63,]    405    398    408    434    448    460    472    486    487    486
##   [64,]    365    365    365    398    426    441    456    473    487    487
##   [65,]    334    341    349    362    381    416    434    456    470    483
##   [66,]    304    318    331    352    365    392    426    442    457    476
##   [67,]    286    304    315    345    365    385    426    435    457    487
##   [68,]    243    265    297    323    348    365    396    426    435    438
##   [69,]    243    243    281    304    337    365    381    390    398    405
##   [70,]    243    243    274    304    325    342    357    368    366    374
##   [71,]    242    243    272    304    314    327    337    342    343    349
##   [72,]    241    243    267    289    304    310    316    319    318    326
##   [73,]    239    243    261    278    289    304    304    304    304    304
##   [74,]    239    243    254    262    268    271    273    282    294    304
##   [75,]    243    243    243    243    243    243    243    260    282    304
##   [76,]    195    192    184    198    219    231    243    243    256    279
##   [77,]    174    178    182    192    192    212    225    235    241    243
##   [78,]    165    173    182    182    182    196    216    226    238    243
##   [79,]    148    160    173    180    182    189    205    220    237    247
##   [80,]    131    150    169    179    182    196    209    220    239    257
##   [81,]    118    139    168    182    191    200    211    224    243    254
##   [82,]    111    132    166    182    191    199    207    216    235    249
##   [83,]    108    134    176    181    185    189    193    197    203    213
##         [,398] [,399] [,400] [,401] [,402] [,403] [,404] [,405] [,406] [,407]
##    [1,]    355    356    360    368    376    379    387    397    406    418
##    [2,]    362    362    366    372    378    385    392    400    409    419
##    [3,]    362    360    364    369    377    383    392    402    412    421
##    [4,]    358    348    349    360    369    373    387    405    415    421
##    [5,]    352    335    321    339    354    355    373    392    408    413
##    [6,]    340    319    306    304    310    323    350    370    380    389
##    [7,]    316    297    288    282    290    299    317    341    353    358
##    [8,]    283    272    268    266    269    275    286    304    315    326
##    [9,]    256    251    252    252    254    256    268    279    288    297
##   [10,]    231    236    241    243    244    245    254    259    264    273
##   [11,]    211    225    236    240    242    242    245    248    250    255
##   [12,]    194    223    235    239    241    242    243    243    243    243
##   [13,]    203    223    235    239    242    242    243    243    243    243
##   [14,]    200    222    238    243    243    243    243    248    243    243
##   [15,]    212    239    242    261    274    279    289    291    270    253
##   [16,]    209    231    243    283    304    304    308    313    304    283
##   [17,]    199    228    243    304    301    313    324    334    324    311
##   [18,]    205    225    235    243    304    321    339    359    349    334
##   [19,]    216    227    234    241    274    324    358    363    364    357
##   [20,]    238    233    235    239    243    304    365    365    365    365
##   [21,]    263    241    240    241    243    273    297    350    365    365
##   [22,]    294    270    243    243    264    272    290    314    365    365
##   [23,]    317    308    292    281    282    288    294    302    351    365
##   [24,]    337    326    316    304    304    304    304    316    339    365
##   [25,]    348    338    331    328    325    324    324    333    349    365
##   [26,]    370    358    356    356    355    355    355    357    360    377
##   [27,]    415    396    396    396    396    396    396    396    402    402
##   [28,]    462    457    441    438    438    441    441    441    441    441
##   [29,]    485    487    487    472    474    487    487    487    487    487
##   [30,]    469    473    474    475    483    486    486    487    480    477
##   [31,]    426    441    449    455    471    487    487    471    459    448
##   [32,]    382    408    416    423    441    474    481    456    434    424
##   [33,]    344    365    388    406    426    441    452    441    426    409
##   [34,]    307    340    357    376    396    426    434    437    426    398
##   [35,]    290    316    334    353    365    405    427    428    410    375
##   [36,]    271    304    321    343    365    386    415    398    385    365
##   [37,]    253    279    295    317    349    371    374    375    348    318
##   [38,]    236    258    266    284    304    304    304    304    304    291
##   [39,]    214    231    238    254    268    273    278    278    269    265
##   [40,]    190    201    214    232    243    243    252    252    243    243
##   [41,]    177    182    190    213    220    228    233    228    214    198
##   [42,]    165    179    182    200    203    207    206    196    182    187
##   [43,]    157    182    186    189    190    189    188    183    183    182
##   [44,]    137    158    182    182    182    182    181    180    181    181
##   [45,]    121    140    154    165    172    175    177    179    181    181
##   [46,]    121    121    129    141    157    166    173    179    181    182
##   [47,]    121    121    121    121    148    159    170    180    182    191
##   [48,]    170    148    137    145    150    159    171    180    182    196
##   [49,]    189    182    168    168    165    167    171    178    182    194
##   [50,]    210    197    187    182    179    176    176    179    182    190
##   [51,]    228    213    196    182    182    182    181    181    181    182
##   [52,]    246    234    207    190    182    182    182    182    182    182
##   [53,]    252    243    221    207    202    191    182    182    182    182
##   [54,]    247    241    230    222    222    218    196    189    184    182
##   [55,]    265    243    241    240    243    243    226    209    193    182
##   [56,]    276    261    243    243    261    259    243    224    203    182
##   [57,]    297    282    282    283    292    293    260    243    224    207
##   [58,]    333    304    304    304    302    296    275    259    243    228
##   [59,]    381    372    350    330    316    299    281    273    264    252
##   [60,]    426    403    383    365    344    314    294    289    287    281
##   [61,]    444    432    416    395    374    345    318    303    319    311
##   [62,]    471    450    435    426    400    373    365    365    365    342
##   [63,]    487    465    447    432    420    402    390    385    377    370
##   [64,]    487    471    459    448    437    426    413    404    395    385
##   [65,]    480    476    472    462    453    446    432    421    411    401
##   [66,]    487    487    487    477    470    468    455    443    426    416
##   [67,]    487    487    487    487    481    484    471    464    445    426
##   [68,]    441    462    468    476    480    487    487    487    477    442
##   [69,]    414    426    426    447    461    487    487    487    449    444
##   [70,]    378    379    400    413    420    449    472    465    443    435
##   [71,]    352    359    365    382    389    418    440    446    438    434
##   [72,]    333    341    350    357    361    386    416    431    434    433
##   [73,]    315    325    332    336    341    358    385    411    426    428
##   [74,]    304    309    315    317    318    332    365    399    426    426
##   [75,]    304    304    304    304    304    321    365    395    426    426
##   [76,]    259    272    291    302    304    340    369    390    414    426
##   [77,]    247    243    283    304    332    363    374    379    386    404
##   [78,]    243    270    284    304    330    355    365    365    365    386
##   [79,]    264    280    304    302    323    335    344    348    355    361
##   [80,]    267    282    304    304    313    318    326    332    340    347
##   [81,]    259    271    283    294    294    301    310    318    326    331
##   [82,]    242    255    267    271    273    279    289    304    313    315
##   [83,]    204    230    249    250    251    252    255    261    286    298
##         [,408] [,409] [,410] [,411] [,412] [,413] [,414] [,415] [,416] [,417]
##    [1,]    419    431    434    432    426    420    414    407    403    397
##    [2,]    425    433    439    437    432    428    422    416    410    404
##    [3,]    426    433    436    434    431    427    422    417    412    406
##    [4,]    424    425    426    426    423    420    417    414    411    405
##    [5,]    413    413    416    415    410    410    411    411    410    407
##    [6,]    391    393    393    396    396    401    404    408    412    415
##    [7,]    362    367    369    374    379    388    392    398    412    414
##    [8,]    332    338    341    353    361    371    375    382    393    405
##    [9,]    303    307    312    323    338    351    354    363    375    385
##   [10,]    277    279    282    293    306    319    331    344    357    368
##   [11,]    257    257    258    264    282    294    308    326    341    353
##   [12,]    243    243    243    243    265    296    304    304    338    351
##   [13,]    243    243    243    258    282    304    311    323    336    348
##   [14,]    243    243    250    269    297    307    319    331    341    354
##   [15,]    243    243    249    276    300    316    331    347    359    367
##   [16,]    263    243    264    271    297    320    339    365    363    379
##   [17,]    294    283    281    289    297    309    331    349    365    392
##   [18,]    319    304    298    297    300    304    321    344    365    395
##   [19,]    342    327    312    303    302    304    310    338    365    389
##   [20,]    365    350    334    313    304    304    304    324    365    377
##   [21,]    367    367    357    344    318    309    304    316    341    365
##   [22,]    372    377    381    369    349    334    333    334    349    365
##   [23,]    380    386    394    381    365    350    349    350    353    365
##   [24,]    390    405    418    401    383    372    362    363    362    362
##   [25,]    396    426    425    420    402    393    386    374    365    364
##   [26,]    400    426    444    438    420    418    406    400    391    385
##   [27,]    413    426    467    465    460    446    426    426    426    426
##   [28,]    446    475    484    487    487    487    487    472    458    453
##   [29,]    487    487    487    487    487    487    487    487    487    480
##   [30,]    474    467    465    467    480    487    487    487    487    487
##   [31,]    443    442    442    443    450    462    487    487    487    487
##   [32,]    418    415    411    413    416    421    442    468    472    484
##   [33,]    393    380    365    374    385    398    411    426    426    451
##   [34,]    380    365    338    355    365    381    389    392    413    426
##   [35,]    348    317    300    291    298    335    335    335    376    382
##   [36,]    304    295    275    252    266    270    274    291    304    325
##   [37,]    299    276    258    224    226    232    239    255    257    287
##   [38,]    271    257    235    192    182    200    215    224    235    254
##   [39,]    261    255    248    198    186    183    190    202    214    232
##   [40,]    243    243    243    227    182    182    183    182    195    213
##   [41,]    198    198    198    201    187    183    182    182    182    195
##   [42,]    183    182    182    182    184    183    182    182    182    182
##   [43,]    182    182    182    182    182    183    182    182    190    196
##   [44,]    182    182    182    182    182    182    200    208    214    236
##   [45,]    182    182    182    182    213    219    219    226    231    248
##   [46,]    186    191    211    233    242    246    248    252    257    277
##   [47,]    198    213    236    242    247    252    261    278    290    304
##   [48,]    209    221    239    248    252    259    274    297    303    315
##   [49,]    206    216    229    243    243    243    262    274    304    331
##   [50,]    199    206    219    230    236    242    243    243    258    313
##   [51,]    189    194    207    222    232    243    243    243    270    287
##   [52,]    182    182    193    210    223    234    243    243    267    283
##   [53,]    182    182    182    196    213    229    243    243    262    275
##   [54,]    182    182    182    182    199    221    243    243    256    267
##   [55,]    182    182    182    182    182    206    224    243    249    258
##   [56,]    182    182    182    182    182    194    211    227    243    252
##   [57,]    193    186    182    182    182    182    190    205    223    245
##   [58,]    218    206    188    182    182    182    182    182    205    228
##   [59,]    237    225    206    189    182    182    182    182    186    205
##   [60,]    262    243    225    210    203    190    182    182    182    182
##   [61,]    294    273    245    235    223    212    202    189    182    182
##   [62,]    322    304    277    253    243    231    226    212    191    182
##   [63,]    355    334    305    281    270    261    253    235    222    196
##   [64,]    375    365    335    304    304    304    304    279    250    243
##   [65,]    390    380    363    340    336    324    316    304    280    263
##   [66,]    406    395    381    365    365    355    352    347    321    311
##   [67,]    416    406    391    384    381    381    377    369    365    342
##   [68,]    430    421    407    404    404    403    393    380    368    355
##   [69,]    434    428    423    426    426    426    411    388    368    339
##   [70,]    432    429    427    426    426    426    414    389    355    326
##   [71,]    431    429    427    427    426    414    398    378    352    317
##   [72,]    432    429    427    427    426    406    387    365    338    304
##   [73,]    429    429    427    427    426    407    386    365    336    304
##   [74,]    426    427    427    427    426    411    390    365    340    304
##   [75,]    426    426    426    426    426    426    402    385    353    304
##   [76,]    426    426    426    426    426    426    414    397    374    337
##   [77,]    426    426    426    426    426    426    426    419    396    378
##   [78,]    398    421    426    426    426    426    426    426    419    408
##   [79,]    373    396    419    426    426    426    426    426    426    426
##   [80,]    356    373    396    411    426    426    426    426    426    426
##   [81,]    341    356    373    388    406    418    423    426    426    426
##   [82,]    326    343    359    365    390    400    408    412    423    426
##   [83,]    310    331    352    365    377    386    393    398    402    409
##         [,418] [,419] [,420] [,421] [,422] [,423] [,424] [,425] [,426] [,427]
##    [1,]    388    378    368    355    345    333    325    313    302    295
##    [2,]    392    380    371    362    352    342    330    317    304    298
##    [3,]    392    380    371    362    354    344    331    317    304    299
##    [4,]    390    377    369    362    355    342    326    314    309    305
##    [5,]    393    378    371    365    358    347    334    323    317    316
##    [6,]    410    396    380    372    364    354    343    334    329    327
##    [7,]    418    416    398    382    371    362    352    345    342    340
##    [8,]    410    401    390    380    373    368    361    356    353    351
##    [9,]    396    392    382    377    374    371    367    364    362    360
##   [10,]    380    380    376    376    376    373    370    367    365    365
##   [11,]    367    371    372    376    380    377    378    369    366    365
##   [12,]    360    365    367    381    391    399    391    370    365    365
##   [13,]    359    365    377    397    419    424    417    395    372    365
##   [14,]    362    383    396    414    426    426    424    418    389    375
##   [15,]    382    404    419    424    424    425    426    423    402    386
##   [16,]    405    426    423    425    424    425    426    420    400    390
##   [17,]    421    424    425    425    425    425    426    415    398    385
##   [18,]    426    426    426    425    426    426    426    419    399    385
##   [19,]    421    426    426    426    426    426    427    424    410    397
##   [20,]    415    426    426    426    427    427    428    427    426    414
##   [21,]    411    426    426    426    427    428    429    429    427    426
##   [22,]    409    426    426    427    428    430    432    431    429    427
##   [23,]    406    426    426    428    430    433    435    434    429    426
##   [24,]    382    426    426    432    439    445    450    446    427    418
##   [25,]    380    411    426    445    461    473    487    487    426    408
##   [26,]    397    412    426    454    480    485    479    453    426    414
##   [27,]    421    420    426    458    469    487    458    440    436    426
##   [28,]    445    444    451    461    457    446    435    432    430    427
##   [29,]    483    487    487    487    458    426    427    423    426    426
##   [30,]    496    517    499    487    481    451    424    413    403    403
##   [31,]    492    494    491    493    487    452    422    398    380    365
##   [32,]    487    489    488    480    466    453    433    395    365    368
##   [33,]    465    466    465    462    455    448    432    400    382    365
##   [34,]    444    446    451    449    447    441    430    405    383    365
##   [35,]    408    420    432    435    435    433    423    401    383    365
##   [36,]    365    387    408    426    428    426    405    390    379    365
##   [37,]    321    350    375    382    405    394    386    378    369    363
##   [38,]    285    304    327    352    365    365    365    365    342    349
##   [39,]    254    274    294    315    330    334    330    316    314    317
##   [40,]    231    243    263    284    304    304    304    300    301    303
##   [41,]    213    229    240    253    256    271    271    284    295    301
##   [42,]    194    218    231    238    242    243    243    273    290    300
##   [43,]    199    212    227    237    241    243    254    274    294    304
##   [44,]    243    232    232    243    243    265    275    298    312    327
##   [45,]    252    243    243    260    280    280    298    318    334    350
##   [46,]    280    281    292    290    300    304    322    338    357    366
##   [47,]    304    304    309    304    304    317    334    349    365    374
##   [48,]    334    340    341    350    350    353    352    355    359    365
##   [49,]    365    365    365    362    365    366    365    361    362    365
##   [50,]    355    365    365    365    365    368    370    368    365    399
##   [51,]    304    304    345    365    365    371    378    381    401    426
##   [52,]    291    297    302    321    350    372    385    394    406    426
##   [53,]    283    288    293    299    304    350    376    388    400    410
##   [54,]    277    282    288    293    298    320    365    377    389    398
##   [55,]    269    274    279    284    289    298    320    350    371    374
##   [56,]    260    265    271    275    279    287    297    304    327    352
##   [57,]    252    257    263    266    268    275    286    293    301    315
##   [58,]    243    249    254    256    258    263    275    282    290    298
##   [59,]    220    234    246    247    247    251    264    272    280    288
##   [60,]    197    205    217    222    223    237    252    260    269    278
##   [61,]    182    182    191    192    192    198    229    248    257    267
##   [62,]    182    182    182    182    182    182    182    218    243    254
##   [63,]    182    182    182    182    182    182    182    190    217    236
##   [64,]    219    213    195    182    182    182    182    182    199    219
##   [65,]    243    243    220    200    182    182    182    182    191    211
##   [66,]    291    284    257    233    208    182    182    182    182    205
##   [67,]    320    307    304    273    243    188    182    182    182    205
##   [68,]    332    312    305    274    231    183    183    182    198    212
##   [69,]    318    304    275    243    211    182    182    182    201    220
##   [70,]    304    285    267    243    198    182    182    182    195    213
##   [71,]    304    280    260    243    186    183    183    182    182    196
##   [72,]    285    266    249    233    190    183    183    182    182    182
##   [73,]    274    243    246    225    207    182    182    182    182    182
##   [74,]    280    254    243    238    223    211    198    192    186    182
##   [75,]    292    276    279    260    243    230    218    215    205    200
##   [76,]    304    289    303    295    275    243    231    229    218    215
##   [77,]    371    335    349    347    331    296    278    264    237    236
##   [78,]    402    399    396    386    371    365    365    365    304    304
##   [79,]    427    427    427    417    413    411    411    406    383    372
##   [80,]    428    430    431    434    439    446    446    435    426    405
##   [81,]    429    434    437    446    460    477    477    462    447    433
##   [82,]    432    439    445    454    477    484    487    487    472    456
##   [83,]    420    431    433    446    470    487    487    487    487    479
##         [,428] [,429] [,430] [,431] [,432] [,433] [,434] [,435] [,436] [,437]
##    [1,]    288    281    273    259    249    237    224    215    211    216
##    [2,]    295    290    279    266    253    242    234    227    222    223
##    [3,]    298    295    281    266    253    244    237    230    227    227
##    [4,]    306    304    296    279    260    251    243    239    236    236
##    [5,]    316    313    308    297    280    262    254    253    250    250
##    [6,]    327    323    316    308    298    285    273    270    270    271
##    [7,]    338    332    323    314    306    299    291    292    289    291
##    [8,]    348    339    328    317    309    305    302    302    302    303
##    [9,]    357    346    332    319    310    306    304    304    304    305
##   [10,]    362    349    331    318    310    306    304    303    302    304
##   [11,]    360    348    331    317    308    304    302    299    295    296
##   [12,]    365    346    327    306    304    299    294    289    284    284
##   [13,]    365    350    330    311    304    290    279    265    254    253
##   [14,]    365    356    336    311    292    283    267    243    247    244
##   [15,]    373    365    337    307    295    284    275    264    251    244
##   [16,]    376    365    338    314    304    295    291    280    271    268
##   [17,]    369    360    345    334    322    314    309    298    296    295
##   [18,]    365    358    353    351    347    338    331    324    320    314
##   [19,]    388    373    364    367    365    359    356    345    343    327
##   [20,]    409    395    384    371    367    365    365    365    365    337
##   [21,]    426    418    395    376    367    365    351    345    332    331
##   [22,]    426    405    395    371    365    337    324    314    300    295
##   [23,]    412    397    378    361    338    324    304    293    277    266
##   [24,]    401    381    365    348    326    304    293    276    252    244
##   [25,]    390    365    367    347    325    304    294    278    263    244
##   [26,]    398    385    371    356    334    321    309    297    276    255
##   [27,]    410    397    384    369    348    332    317    304    292    267
##   [28,]    423    411    397    376    361    343    327    311    300    279
##   [29,]    427    426    410    388    365    356    341    324    304    291
##   [30,]    418    426    422    400    379    369    359    343    326    305
##   [31,]    387    409    426    413    388    379    372    365    344    323
##   [32,]    366    379    426    406    393    384    377    365    355    335
##   [33,]    365    365    382    390    394    395    395    391    374    352
##   [34,]    365    365    365    382    400    408    417    426    405    375
##   [35,]    365    364    365    386    403    414    426    425    426    406
##   [36,]    364    364    365    391    409    417    426    426    426    426
##   [37,]    362    363    365    416    426    424    416    419    426    426
##   [38,]    354    359    365    426    426    426    402    392    401    426
##   [39,]    335    351    375    410    411    394    375    366    363    379
##   [40,]    304    331    359    381    380    377    365    358    351    314
##   [41,]    304    310    354    366    370    370    366    359    341    312
##   [42,]    304    327    352    367    369    368    367    366    365    339
##   [43,]    319    331    356    370    370    369    367    366    366    357
##   [44,]    338    346    360    374    374    371    367    365    365    358
##   [45,]    365    365    377    391    382    373    365    366    361    342
##   [46,]    380    394    421    426    406    386    372    365    355    325
##   [47,]    391    413    426    426    426    406    388    375    365    336
##   [48,]    398    426    425    426    426    421    401    385    369    341
##   [49,]    399    426    426    426    426    426    407    390    371    355
##   [50,]    416    422    425    426    426    414    399    386    373    366
##   [51,]    422    425    425    405    389    393    382    378    373    368
##   [52,]    426    425    402    375    357    350    354    361    368    367
##   [53,]    426    426    380    345    324    304    322    337    358    365
##   [54,]    411    426    379    324    304    311    304    320    333    324
##   [55,]    389    385    374    304    306    305    305    304    308    300
##   [56,]    365    371    368    336    304    304    304    303    298    288
##   [57,]    336    357    366    345    315    304    304    302    291    277
##   [58,]    304    331    365    365    334    304    304    299    284    267
##   [59,]    296    311    357    365    358    333    313    301    284    263
##   [60,]    288    300    331    365    365    353    335    317    294    270
##   [61,]    277    292    304    333    357    365    357    332    298    278
##   [62,]    265    284    304    316    341    356    365    365    301    286
##   [63,]    249    272    298    304    334    353    361    356    318    294
##   [64,]    234    261    304    319    332    354    365    352    315    296
##   [65,]    229    258    304    325    343    365    361    365    317    296
##   [66,]    225    259    304    327    348    365    365    365    319    295
##   [67,]    224    259    304    334    356    359    365    337    316    297
##   [68,]    229    262    304    355    365    364    331    314    311    306
##   [69,]    243    284    318    365    365    331    304    306    305    305
##   [70,]    234    260    290    298    316    314    291    284    292    299
##   [71,]    212    234    259    266    270    267    261    259    267    273
##   [72,]    190    197    213    228    228    233    239    243    249    247
##   [73,]    182    182    182    182    182    200    227    239    242    242
##   [74,]    182    182    182    182    182    182    223    237    241    242
##   [75,]    198    197    192    182    182    224    226    237    240    242
##   [76,]    213    212    210    210    219    227    234    237    240    242
##   [77,]    236    234    237    238    243    238    236    238    240    242
##   [78,]    263    258    274    267    256    247    243    241    241    242
##   [79,]    335    335    314    293    276    257    243    243    242    242
##   [80,]    391    376    365    331    304    272    243    243    243    243
##   [81,]    418    397    376    365    322    297    276    249    243    243
##   [82,]    441    417    389    365    350    330    304    274    243    243
##   [83,]    464    441    416    396    375    356    336    304    274    253
##         [,438] [,439] [,440] [,441] [,442] [,443] [,444] [,445] [,446] [,447]
##    [1,]    218    230    235    250    249    267    285    295    311    324
##    [2,]    227    234    239    252    251    268    285    297    314    326
##    [3,]    231    236    241    253    253    272    287    305    318    326
##    [4,]    238    240    243    247    260    274    292    305    317    319
##    [5,]    252    253    254    258    271    287    305    319    331    327
##    [6,]    269    272    271    275    289    301    319    337    345    343
##    [7,]    292    292    295    297    309    322    340    350    357    355
##    [8,]    305    307    309    319    331    344    352    359    362    362
##    [9,]    310    316    323    338    351    354    359    361    362    363
##   [10,]    309    317    331    348    352    356    358    352    356    360
##   [11,]    297    306    319    336    349    345    346    335    338    351
##   [12,]    284    293    304    304    325    330    333    313    304    324
##   [13,]    253    261    257    278    295    309    308    307    302    304
##   [14,]    243    243    245    243    264    277    285    292    296    304
##   [15,]    243    243    243    243    243    251    263    267    271    278
##   [16,]    258    243    243    243    243    243    243    243    243    243
##   [17,]    287    265    251    243    243    243    240    229    217    208
##   [18,]    306    289    274    259    246    243    236    214    196    182
##   [19,]    313    305    297    269    254    246    240    214    182    184
##   [20,]    317    307    304    275    255    245    244    243    182    182
##   [21,]    315    307    304    276    254    243    243    213    207    182
##   [22,]    294    289    272    253    243    245    243    213    196    190
##   [23,]    264    259    252    250    245    243    243    214    194    185
##   [24,]    242    246    245    244    245    243    229    209    188    180
##   [25,]    237    227    213    213    213    206    192    182    178    169
##   [26,]    237    216    193    182    182    182    183    174    165    156
##   [27,]    243    231    215    205    197    190    182    174    169    162
##   [28,]    260    249    236    224    219    213    206    199    198    193
##   [29,]    274    264    253    243    238    235    234    243    243    225
##   [30,]    289    279    268    257    248    244    243    242    243    213
##   [31,]    304    294    282    268    257    246    243    216    182    198
##   [32,]    316    304    291    275    261    243    243    222    204    182
##   [33,]    332    318    304    290    276    267    252    237    222    217
##   [34,]    350    335    320    304    292    283    268    253    243    243
##   [35,]    375    358    342    327    312    299    284    268    262    256
##   [36,]    406    385    365    350    335    320    299    284    275    267
##   [37,]    426    416    380    368    358    340    314    299    289    279
##   [38,]    426    381    380    371    368    357    334    317    304    293
##   [39,]    377    370    369    367    366    366    357    332    318    308
##   [40,]    335    345    365    348    353    365    365    341    326    316
##   [41,]    304    304    304    316    317    329    346    340    329    319
##   [42,]    310    304    304    304    304    304    304    314    319    316
##   [43,]    321    309    305    304    304    302    302    304    308    311
##   [44,]    322    312    307    305    304    295    294    297    302    305
##   [45,]    314    304    304    304    296    282    285    288    293    299
##   [46,]    306    306    302    296    287    270    275    277    283    291
##   [47,]    304    305    299    290    277    254    257    259    268    277
##   [48,]    326    311    300    288    272    247    243    243    250    262
##   [49,]    342    328    315    304    287    254    243    243    243    243
##   [50,]    359    343    326    313    304    269    243    243    243    243
##   [51,]    365    356    335    318    304    275    243    243    243    243
##   [52,]    366    353    336    319    304    277    243    243    243    243
##   [53,]    329    327    321    315    310    286    243    243    243    243
##   [54,]    304    304    314    311    308    287    256    243    243    243
##   [55,]    296    295    296    298    296    272    256    250    245    243
##   [56,]    281    278    274    278    276    268    256    249    243    244
##   [57,]    267    259    251    260    261    258    253    248    243    243
##   [58,]    253    243    246    243    248    249    248    246    243    243
##   [59,]    249    244    243    244    243    243    243    243    243    243
##   [60,]    259    252    243    243    243    243    243    243    243    243
##   [61,]    268    259    252    246    243    243    243    243    243    243
##   [62,]    276    267    259    252    245    243    243    243    243    243
##   [63,]    284    272    263    255    246    243    243    243    243    243
##   [64,]    287    277    267    258    248    243    243    243    243    243
##   [65,]    287    278    269    259    249    243    243    243    243    243
##   [66,]    286    275    265    254    245    244    244    243    243    243
##   [67,]    287    273    259    243    244    244    243    244    243    243
##   [68,]    298    278    261    247    243    243    243    243    243    243
##   [69,]    304    285    267    252    243    243    243    243    243    243
##   [70,]    304    274    260    247    243    243    243    243    243    243
##   [71,]    260    243    243    245    243    243    243    243    243    243
##   [72,]    244    245    243    243    243    243    243    243    243    243
##   [73,]    243    243    243    243    243    243    243    243    243    243
##   [74,]    242    242    242    243    243    243    243    243    243    243
##   [75,]    242    242    242    243    243    243    243    246    243    243
##   [76,]    242    242    242    243    243    243    253    258    256    243
##   [77,]    243    243    243    243    243    243    264    281    291    291
##   [78,]    243    243    243    243    243    243    277    304    308    309
##   [79,]    243    243    247    246    243    260    294    310    323    327
##   [80,]    243    243    253    259    249    284    304    325    340    349
##   [81,]    243    243    265    279    289    311    324    341    359    367
##   [82,]    243    243    284    304    311    331    344    365    370    380
##   [83,]    243    260    304    320    339    347    353    365    381    396
##         [,448] [,449] [,450] [,451] [,452] [,453] [,454] [,455] [,456] [,457]
##    [1,]    317    314    305    284    265    253    243    233    222    211
##    [2,]    318    315    306    284    265    253    242    234    227    223
##    [3,]    316    314    300    273    261    250    242    235    229    226
##    [4,]    314    309    297    280    261    250    243    237    232    230
##    [5,]    316    312    299    283    264    252    246    241    236    234
##    [6,]    334    323    309    295    283    269    255    250    242    239
##    [7,]    349    339    325    313    304    295    279    262    250    244
##    [8,]    360    353    341    327    313    307    297    283    266    254
##    [9,]    364    363    353    336    322    311    300    290    275    259
##   [10,]    363    365    357    339    321    312    303    291    277    261
##   [11,]    362    365    361    341    325    313    306    298    285    267
##   [12,]    365    365    365    351    315    308    306    305    304    289
##   [13,]    332    355    365    339    309    306    305    304    304    304
##   [14,]    316    331    365    322    304    304    304    304    304    304
##   [15,]    287    289    289    279    260    259    259    279    292    299
##   [16,]    243    243    243    213    213    225    235    243    260    273
##   [17,]    198    198    192    189    182    199    213    224    236    247
##   [18,]    186    182    180    181    181    182    194    202    210    232
##   [19,]    183    181    178    176    172    178    182    185    187    185
##   [20,]    182    178    175    169    154    161    170    182    182    178
##   [21,]    182    177    173    162    139    148    155    158    160    170
##   [22,]    184    179    177    155    128    128    130    131    139    151
##   [23,]    184    183    182    167    135    121    121    121    121    128
##   [24,]    176    175    172    153    135    128    123    121    119    119
##   [25,]    156    153    148    142    133    127    123    121    117    113
##   [26,]    130    129    126    128    124    122    121    117    114    103
##   [27,]    151    121    121    121    121    121    121    121    121    103
##   [28,]    186    183    167    167    172    180    182    167    137    119
##   [29,]    196    185    182    182    182    182    182    161    153    127
##   [30,]    189    184    181    176    171    154    148    153    141    127
##   [31,]    182    182    178    168    159    121    121    128    127    121
##   [32,]    182    182    182    182    182    161    135    121    121    121
##   [33,]    214    213    213    213    206    188    172    163    155    162
##   [34,]    243    243    243    243    243    205    191    182    182    188
##   [35,]    251    247    243    243    218    209    199    194    194    198
##   [36,]    258    250    243    243    222    212    205    201    202    206
##   [37,]    268    258    245    243    227    219    212    208    210    213
##   [38,]    281    270    250    243    234    227    219    216    217    220
##   [39,]    298    286    264    248    241    235    226    223    225    227
##   [40,]    309    304    277    259    249    243    234    231    231    235
##   [41,]    311    304    285    264    253    243    238    236    236    238
##   [42,]    311    304    289    272    261    249    243    242    243    241
##   [43,]    309    304    294    281    273    266    263    261    252    243
##   [44,]    305    305    302    292    288    284    283    278    266    256
##   [45,]    304    304    305    304    304    304    304    292    278    264
##   [46,]    300    304    305    313    320    325    321    310    294    279
##   [47,]    287    297    307    322    337    348    346    333    309    294
##   [48,]    274    286    304    332    358    365    365    357    318    306
##   [49,]    257    271    295    324    365    365    365    331    319    309
##   [50,]    243    258    281    296    318    343    339    329    317    309
##   [51,]    243    243    258    274    289    304    315    316    313    307
##   [52,]    243    243    243    258    274    289    304    304    304    304
##   [53,]    243    243    243    243    251    266    270    269    263    255
##   [54,]    243    243    243    243    243    243    243    243    245    243
##   [55,]    243    243    243    243    243    243    243    243    243    243
##   [56,]    243    243    243    243    243    243    243    243    243    243
##   [57,]    243    243    243    243    243    243    243    243    243    243
##   [58,]    243    243    243    243    243    243    243    243    243    243
##   [59,]    243    243    243    243    243    243    243    243    243    265
##   [60,]    243    243    243    243    243    243    247    246    257    284
##   [61,]    243    243    243    243    243    243    253    257    279    299
##   [62,]    243    243    243    243    243    254    261    269    288    299
##   [63,]    243    243    243    243    247    258    268    284    296    301
##   [64,]    243    243    243    243    250    264    279    300    304    304
##   [65,]    243    243    243    243    243    263    276    296    304    304
##   [66,]    243    243    243    243    246    254    261    279    299    304
##   [67,]    243    243    243    243    243    243    243    261    288    298
##   [68,]    243    243    243    243    243    243    243    246    282    294
##   [69,]    243    243    243    243    243    243    243    258    282    293
##   [70,]    243    243    243    243    243    250    256    268    285    293
##   [71,]    243    243    243    243    256    265    271    281    292    298
##   [72,]    243    244    252    260    271    282    288    296    305    309
##   [73,]    243    246    262    274    291    304    304    305    312    320
##   [74,]    243    252    263    279    304    301    304    307    317    327
##   [75,]    243    243    250    264    279    297    304    309    325    335
##   [76,]    243    243    243    243    258    281    297    310    328    339
##   [77,]    261    243    243    243    243    274    300    311    327    338
##   [78,]    294    263    243    243    243    275    304    316    330    341
##   [79,]    317    294    274    264    275    284    299    316    338    351
##   [80,]    344    323    304    304    295    293    298    316    346    365
##   [81,]    370    355    340    324    312    302    302    326    351    365
##   [82,]    388    380    365    350    342    339    337    355    365    407
##   [83,]    412    414    394    379    374    369    356    369    398    426
##         [,458] [,459] [,460] [,461] [,462] [,463] [,464] [,465] [,466] [,467]
##    [1,]    216    217    220    216    202    187    180    155    136    126
##    [2,]    223    227    229    226    207    193    187    159    141    130
##    [3,]    227    231    233    231    225    204    194    183    155    136
##    [4,]    232    236    239    240    236    224    206    190    176    161
##    [5,]    235    239    241    242    242    237    228    212    198    188
##    [6,]    238    240    242    242    243    243    241    230    221    206
##    [7,]    242    241    242    242    243    243    243    241    234    217
##    [8,]    246    243    242    243    243    243    243    243    239    219
##    [9,]    249    245    243    243    243    243    243    243    240    214
##   [10,]    251    246    243    243    243    243    243    243    243    233
##   [11,]    256    246    243    244    244    244    243    243    243    240
##   [12,]    273    243    243    249    246    245    243    243    243    243
##   [13,]    299    279    272    260    252    247    243    243    243    242
##   [14,]    304    304    290    275    262    252    243    243    243    242
##   [15,]    304    304    304    285    270    258    247    243    243    241
##   [16,]    284    304    284    281    271    262    248    243    243    239
##   [17,]    242    253    263    263    261    259    255    243    243    236
##   [18,]    225    234    243    247    250    259    265    253    243    223
##   [19,]    194    212    233    243    245    264    278    263    250    243
##   [20,]    182    191    216    232    243    281    300    278    256    243
##   [21,]    177    182    202    222    243    304    304    304    257    243
##   [22,]    165    176    187    204    223    243    294    274    233    195
##   [23,]    146    158    166    182    202    221    243    223    182    188
##   [24,]    128    140    134    157    171    192    194    176    174    175
##   [25,]    113    121     93    134    132    143    153    153    160    160
##   [26,]     90     69     63     91     80    101    116    133    136    134
##   [27,]     80     60     60     62     60     60     91    121    121     92
##   [28,]     90     78     66     60     60     60     60     71     63     61
##   [29,]    101     90     81     73     60     60     60     60     60     61
##   [30,]    106     99     92     85     84     66     60     60     60     60
##   [31,]    116    112    110    107    112    108     93     79     72     65
##   [32,]    121    121    121    121    138    137    121    106    103     89
##   [33,]    183    187    186    170    170    171    149    135    126    113
##   [34,]    195    201    204    208    213    204    182    166    151    145
##   [35,]    209    217    226    237    242    238    225    197    175    173
##   [36,]    219    227    235    238    243    243    243    243    212    194
##   [37,]    226    233    239    241    242    243    243    237    233    228
##   [38,]    231    237    241    242    243    243    243    243    243    243
##   [39,]    236    240    242    243    243    243    243    243    243    243
##   [40,]    239    242    243    243    243    243    243    243    243    243
##   [41,]    241    242    243    243    243    243    243    243    243    243
##   [42,]    243    243    243    243    243    243    243    243    243    243
##   [43,]    244    243    243    243    243    243    243    243    243    243
##   [44,]    250    244    243    243    243    243    243    243    243    243
##   [45,]    255    243    243    243    243    243    243    243    243    243
##   [46,]    268    258    249    244    243    243    243    243    243    243
##   [47,]    283    270    259    249    243    243    243    243    243    243
##   [48,]    299    283    267    246    245    243    243    243    243    243
##   [49,]    306    304    285    259    243    244    243    243    243    243
##   [50,]    306    305    293    267    243    243    244    243    243    243
##   [51,]    304    288    276    259    243    243    243    243    243    243
##   [52,]    284    276    265    254    243    244    243    243    243    243
##   [53,]    256    251    249    244    245    244    243    243    243    243
##   [54,]    243    243    243    243    244    244    243    243    243    243
##   [55,]    243    243    243    243    243    243    243    243    243    243
##   [56,]    243    243    243    243    243    243    243    243    243    243
##   [57,]    243    243    243    243    243    243    243    243    243    243
##   [58,]    243    243    243    274    250    243    243    243    243    243
##   [59,]    277    289    294    302    285    268    256    254    253    253
##   [60,]    304    300    308    310    306    304    287    285    284    284
##   [61,]    302    304    313    320    327    316    304    304    304    304
##   [62,]    301    304    320    332    349    352    329    304    304    304
##   [63,]    304    316    325    339    360    361    365    335    304    304
##   [64,]    304    318    332    346    365    365    364    365    350    323
##   [65,]    304    317    328    341    358    365    365    365    365    365
##   [66,]    304    312    318    329    344    361    365    365    365    365
##   [67,]    304    304    304    314    329    349    359    365    365    365
##   [68,]    299    302    303    304    314    342    353    359    364    365
##   [69,]    297    300    302    303    304    338    349    356    362    364
##   [70,]    298    300    302    304    318    337    347    355    362    365
##   [71,]    304    304    304    319    333    341    350    357    365    364
##   [72,]    314    314    321    330    344    350    354    359    362    365
##   [73,]    327    331    339    348    360    360    361    363    364    364
##   [74,]    336    346    356    365    366    365    364    364    365    365
##   [75,]    347    360    364    367    373    377    374    375    378    385
##   [76,]    350    357    365    371    387    395    398    405    409    410
##   [77,]    348    357    362    375    400    418    421    426    427    423
##   [78,]    351    359    365    386    407    416    426    431    431    436
##   [79,]    361    369    379    394    411    419    426    436    440    445
##   [80,]    371    381    392    409    426    426    436    443    449    455
##   [81,]    382    393    402    417    425    434    443    451    459    464
##   [82,]    394    402    408    417    426    441    452    462    472    473
##   [83,]    417    412    413    419    426    447    463    475    487    480
##         [,468] [,469] [,470] [,471] [,472] [,473] [,474] [,475] [,476] [,477]
##    [1,]    134    130    123    114    103     94     88     76     67     62
##    [2,]    134    139    131    120    109    102     95     81     71     64
##    [3,]    139    141    132    120    112    109    100     92     77     69
##    [4,]    148    142    136    129    135    122    117    104     95     80
##    [5,]    178    165    164    163    164    147    135    122    113     99
##    [6,]    192    179    174    177    179    172    162    144    128    115
##    [7,]    201    190    183    181    180    179    166    152    134    122
##    [8,]    200    189    183    177    172    168    153    142    124    112
##    [9,]    200    188    177    165    158    147    140    130    102     87
##   [10,]    207    188    170    147    137    137    132    117     98     79
##   [11,]    216    197    180    166    151    138    133    127    112     94
##   [12,]    214    207    195    181    182    161    149    138    129    121
##   [13,]    216    204    198    191    188    185    174    162    151    138
##   [14,]    218    208    203    201    200    196    190    182    170    154
##   [15,]    221    214    211    210    212    210    205    198    188    168
##   [16,]    225    220    219    220    224    224    222    218    210    179
##   [17,]    221    222    224    234    243    243    243    243    243    212
##   [18,]    182    202    212    225    243    243    243    243    243    243
##   [19,]    182    182    196    212    229    243    241    243    243    243
##   [20,]    182    182    185    191    206    219    232    238    243    233
##   [21,]    182    183    182    182    182    208    225    233    243    196
##   [22,]    188    183    182    182    197    212    230    225    210    192
##   [23,]    181    186    183    197    213    233    243    213    198    186
##   [24,]    177    179    189    210    236    241    243    192    182    170
##   [25,]    165    170    187    203    215    243    182    185    170    160
##   [26,]    135    139    175    184    186    175    172    162    157    149
##   [27,]     91    111    131    150    158    155    151    148    144    137
##   [28,]     60     76    112    104    136    136    137    135    133    127
##   [29,]     60     60     60     60    121    121    125    126    125    123
##   [30,]     60     60     60     60     60     60    121    121    121    109
##   [31,]     60     60     60     60     60     60     60     76     76     72
##   [32,]     84     81     75     60     60     60     60     60     60     60
##   [33,]    112    112    104     93     79     72     66     60     60     60
##   [34,]    138    137    126    121    105    103     97     94     81     81
##   [35,]    162    160    154    145    134    130    128    124    112    111
##   [36,]    182    182    182    182    165    155    147    138    130    122
##   [37,]    229    228    228    223    196    176    164    153    140    122
##   [38,]    242    243    243    243    243    200    182    170    158    147
##   [39,]    243    243    243    242    215    208    193    182    174    164
##   [40,]    243    243    242    238    218    204    197    190    184    182
##   [41,]    243    243    242    235    220    209    200    192    185    182
##   [42,]    243    243    239    230    223    213    204    194    183    182
##   [43,]    243    243    235    228    221    214    206    196    182    182
##   [44,]    243    243    236    230    225    220    216    206    192    182
##   [45,]    243    243    239    235    232    232    231    219    203    191
##   [46,]    243    243    243    242    242    243    243    231    214    205
##   [47,]    243    243    243    243    243    243    243    243    225    220
##   [48,]    243    243    243    243    243    243    243    240    237    237
##   [49,]    243    243    243    243    243    243    243    243    243    242
##   [50,]    243    243    243    243    243    243    243    243    243    243
##   [51,]    243    243    243    243    243    243    243    243    243    243
##   [52,]    243    243    243    243    243    243    243    243    243    243
##   [53,]    243    243    243    243    243    243    243    243    243    243
##   [54,]    243    243    243    243    243    243    243    243    243    243
##   [55,]    243    243    243    243    243    243    243    243    243    243
##   [56,]    243    243    243    243    243    243    243    243    243    243
##   [57,]    243    243    243    243    243    243    243    243    243    243
##   [58,]    243    243    243    243    243    243    243    243    243    243
##   [59,]    249    243    243    243    243    243    243    243    243    243
##   [60,]    279    249    243    243    243    243    243    243    243    243
##   [61,]    304    254    243    243    243    243    243    243    243    243
##   [62,]    288    265    243    243    243    243    243    243    243    243
##   [63,]    295    282    260    243    243    243    243    243    243    243
##   [64,]    315    303    279    258    243    243    243    243    243    243
##   [65,]    340    314    304    271    243    243    243    243    243    243
##   [66,]    360    331    304    287    270    257    256    249    243    243
##   [67,]    365    365    336    304    289    282    272    258    243    243
##   [68,]    365    365    365    340    315    299    288    273    259    249
##   [69,]    365    365    366    365    340    322    304    289    276    268
##   [70,]    365    365    368    367    359    343    328    306    294    290
##   [71,]    365    369    374    374    371    365    350    333    304    304
##   [72,]    365    373    379    381    378    373    365    355    339    335
##   [73,]    365    380    389    392    392    391    390    379    373    369
##   [74,]    375    391    399    404    408    411    411    404    397    391
##   [75,]    396    405    411    416    422    430    433    425    419    417
##   [76,]    420    426    426    426    438    445    452    456    448    435
##   [77,]    431    437    440    446    454    463    477    485    478    463
##   [78,]    443    450    454    462    470    478    487    488    487    487
##   [79,]    454    462    469    475    483    489    493    492    491    487
##   [80,]    463    473    480    487    489    495    501    500    501    496
##   [81,]    471    479    487    486    494    501    509    514    517    515
##   [82,]    477    483    487    487    499    508    520    530    535    538
##   [83,]    482    487    490    487    503    513    527    540    548    548
##         [,478] [,479] [,480] [,481] [,482] [,483] [,484] [,485] [,486] [,487]
##    [1,]     58     56     59     67     76     84     90     92     89     84
##    [2,]     59     55     58     65     72     79     85     87     84     79
##    [3,]     61     56     59     63     70     77     82     84     79     72
##    [4,]     69     61     60     62     66     70     75     77     74     68
##    [5,]     80     70     64     63     63     65     68     70     67     64
##    [6,]    100     84     72     67     64     63     63     64     63     62
##    [7,]    110     98     83     73     66     62     61     61     61     60
##    [8,]    111    103     87     76     68     63     61     60     60     60
##    [9,]     87     88     77     70     65     62     60     60     60     60
##   [10,]     71     72     72     69     66     63     61     60     60     60
##   [11,]     84     81     85     78     72     67     62     60     60     60
##   [12,]    105    103    101    101     88     75     63     60     60     60
##   [13,]    126    123    122    121    113     89     66     60     60     60
##   [14,]    138    130    123    121    103     91     60     61     60     60
##   [15,]    148    135    121    121    110     95     75     60     60     60
##   [16,]    161    147    135    121    121    110     89     69     60     60
##   [17,]    177    164    152    141    130    123     99     74     60     60
##   [18,]    201    182    170    153    139    129    113     87     67     60
##   [19,]    208    188    182    158    143    132    123    107     79     68
##   [20,]    192    179    164    154    144    134    124    108     81     69
##   [21,]    179    166    156    145    137    131    122     96     75     68
##   [22,]    167    153    139    128    129    124    111     71     63     61
##   [23,]    159    141    121    125    121    108     81     60     60     61
##   [24,]    152    138    130    123    122     82     62     62     61     60
##   [25,]    147    138    128    121    100     73     60     61     60     60
##   [26,]    139    131    124    112     94     70     62     61     60     60
##   [27,]    128    121    108     94     78     62     60     62     60     60
##   [28,]    121    108     96     84     71     60     61     60     60     60
##   [29,]    102     90     78     66     62     62     60     60     60     60
##   [30,]     85     72     60     63     60     61     61     60     60     60
##   [31,]     63     61     62     61     61     61     61     60     60     60
##   [32,]     60     62     61     60     64     62     61     60     60     60
##   [33,]     60     60     61     68     67     66     63     60     64     69
##   [34,]     81     81     82     82     79     73     69     71     73     74
##   [35,]    111    111    103     94     89     83     78     79     82     80
##   [36,]    121    121    121    103     98     91     86     88     90     87
##   [37,]    121    121    112    109    105     99     95     96     98     96
##   [38,]    134    121    121    116    112    107    104    105    106    106
##   [39,]    158    146    130    121    117    112    110    110    111    114
##   [40,]    182    174    156    134    121    119    118    118    119    121
##   [41,]    182    182    182    145    121    121    121    121    121    123
##   [42,]    182    182    163    148    121    121    121    121    121    127
##   [43,]    182    182    167    154    142    121    121    121    121    132
##   [44,]    182    182    178    172    175    143    128    121    133    138
##   [45,]    182    182    182    182    182    182    161    152    150    146
##   [46,]    198    192    182    182    182    182    182    176    163    154
##   [47,]    214    209    196    182    182    182    182    182    182    170
##   [48,]    236    234    219    205    186    182    182    182    182    177
##   [49,]    243    243    243    228    203    182    182    182    182    172
##   [50,]    243    243    243    243    216    207    192    182    182    171
##   [51,]    243    243    243    239    235    234    219    204    189    178
##   [52,]    243    243    243    243    243    243    243    228    210    195
##   [53,]    243    243    243    243    243    243    243    243    227    212
##   [54,]    243    243    243    243    243    243    243    243    243    227
##   [55,]    243    243    243    243    243    243    243    243    243    240
##   [56,]    243    243    243    243    243    243    243    243    243    243
##   [57,]    243    243    243    243    243    243    243    243    243    243
##   [58,]    243    243    243    243    243    243    243    243    243    243
##   [59,]    243    243    243    243    243    243    243    243    243    224
##   [60,]    243    243    243    243    243    243    243    243    243    225
##   [61,]    243    243    243    243    243    243    243    243    243    229
##   [62,]    243    243    243    243    243    243    243    243    243    235
##   [63,]    243    243    243    243    243    243    243    243    243    243
##   [64,]    243    243    243    243    243    243    243    243    243    243
##   [65,]    243    243    243    243    243    243    243    243    243    250
##   [66,]    243    243    243    247    247    247    247    248    253    257
##   [67,]    243    243    243    261    261    258    257    259    262    265
##   [68,]    243    252    264    277    272    268    266    268    270    273
##   [69,]    270    273    282    293    282    277    276    277    278    281
##   [70,]    290    293    299    303    288    283    282    283    284    285
##   [71,]    304    304    304    305    296    292    291    291    292    293
##   [72,]    325    321    311    305    304    301    299    299    298    298
##   [73,]    356    340    327    309    304    304    303    302    302    302
##   [74,]    377    365    346    315    304    304    304    304    304    304
##   [75,]    402    387    373    336    304    304    304    309    310    307
##   [76,]    426    411    395    372    304    304    328    321    323    315
##   [77,]    444    431    418    389    371    335    355    354    353    336
##   [78,]    462    442    426    404    387    383    379    380    373    355
##   [79,]    474    455    437    417    404    401    400    403    399    387
##   [80,]    487    473    465    436    422    420    420    426    426    426
##   [81,]    500    487    487    460    426    426    426    487    457    441
##   [82,]    529    534    513    496    475    472    487    490    495    470
##   [83,]    548    551    548    524    503    487    512    528    548    497
##         [,488] [,489] [,490] [,491] [,492] [,493] [,494] [,495] [,496] [,497]
##    [1,]     80     80     88     99    112    126    141    156    169    178
##    [2,]     75     77     89    103    115    127    141    158    175    186
##    [3,]     67     75     92    110    117    128    144    168    189    200
##    [4,]     65     73     87    101    113    125    142    160    176    188
##    [5,]     62     69     85    100    113    127    141    155    168    179
##    [6,]     61     70     85    100    113    124    136    149    162    172
##    [7,]     61     71     87    101    112    119    127    137    149    159
##    [8,]     61     71     87    100    109    111    113    122    133    144
##    [9,]     60     60     74     93    108    101     98    104    116    128
##   [10,]     60     60     66     79     83     73     76     85    100    113
##   [11,]     60     60     61     66     73     67     65     71     82     99
##   [12,]     60     60     60     60     60     61     60     60     74     84
##   [13,]     60     60     60     60     60     60     60     60     64     70
##   [14,]     60     60     60     60     60     60     60     60     60     61
##   [15,]     60     60     60     60     60     60     60     60     60     60
##   [16,]     60     60     60     60     60     60     60     60     60     60
##   [17,]     60     60     60     60     60     60     60     60     60     60
##   [18,]     60     60     60     60     60     60     60     60     60     60
##   [19,]     60     60     60     60     60     60     60     60     60     60
##   [20,]     64     61     60     60     60     60     60     60     60     60
##   [21,]     63     60     60     60     60     60     60     60     60     60
##   [22,]     60     60     60     60     60     60     60     60     60     60
##   [23,]     60     60     60     60     60     60     60     60     60     72
##   [24,]     60     60     60     60     60     60     60     63     75     91
##   [25,]     60     60     60     60     60     60     60     69     97    121
##   [26,]     60     60     60     60     60     60     60     68    102    120
##   [27,]     60     60     60     60     60     60     60     69     95    121
##   [28,]     60     60     60     60     60     60     60     60     90    110
##   [29,]     60     60     60     60     60     60     60     60     83    105
##   [30,]     60     60     60     60     60     60     60     60     81    103
##   [31,]     62     62     61     60     60     60     60     63     89    114
##   [32,]     64     64     62     61     60     60     60     60    101    117
##   [33,]     67     66     64     62     60     60     60     60     67    111
##   [34,]     72     70     67     64     62     60     60     60     60     93
##   [35,]     77     73     69     67     64     60     60     60     67     97
##   [36,]     84     80     75     72     68     60     60     60     80    103
##   [37,]     93     89     86     84     82     77     74     83     94    109
##   [38,]    104    101     99     98     99     97    101    107    114    152
##   [39,]    112    110    109    110    111    112    113    121    152    192
##   [40,]    120    118    118    119    121    121    131    171    182    208
##   [41,]    122    121    121    121    121    121    121    148    182    203
##   [42,]    126    123    121    121    121    121    121    131    170    188
##   [43,]    131    126    122    121    121    121    126    141    163    182
##   [44,]    135    128    122    122    121    123    131    141    161    182
##   [45,]    140    129    122    121    121    125    132    140    158    178
##   [46,]    144    129    122    121    121    124    126    126    165    190
##   [47,]    153    134    121    122    121    121    121    131    182    202
##   [48,]    162    140    124    121    121    121    121    121    182    202
##   [49,]    160    143    126    121    121    121    121    132    153    172
##   [50,]    160    139    121    123    121    121    121    126    144    153
##   [51,]    165    144    122    121    122    121    121    121    127    130
##   [52,]    182    180    182    152    142    131    121    121    121    121
##   [53,]    198    186    183    182    173    158    136    123    121    117
##   [54,]    211    193    183    182    182    182    147    129    121    113
##   [55,]    221    193    182    180    178    162    148    131    122    112
##   [56,]    216    182    178    175    167    156    143    126    122    105
##   [57,]    217    182    174    168    159    149    127    122    121    111
##   [58,]    197    182    176    170    164    161    150    121    121    121
##   [59,]    197    182    182    180    178    182    182    182    182    152
##   [60,]    205    188    182    182    190    197    201    205    196    187
##   [61,]    214    203    201    204    209    217    220    227    217    206
##   [62,]    226    219    221    225    229    236    239    248    237    225
##   [63,]    239    237    237    243    243    252    263    268    255    243
##   [64,]    245    247    249    255    265    273    284    295    280    262
##   [65,]    252    256    263    272    280    290    304    302    304    279
##   [66,]    259    267    274    282    290    300    304    304    298    287
##   [67,]    267    275    283    290    297    300    304    304    293    283
##   [68,]    275    282    289    295    300    302    303    304    294    286
##   [69,]    282    288    294    299    302    303    304    304    297    291
##   [70,]    287    292    296    300    303    304    304    304    300    296
##   [71,]    294    296    299    303    305    304    304    304    304    303
##   [72,]    299    301    304    303    313    324    308    304    304    304
##   [73,]    302    302    304    304    329    354    328    304    304    304
##   [74,]    303    303    304    304    338    365    355    325    304    304
##   [75,]    304    304    304    331    355    370    378    355    335    314
##   [76,]    304    304    304    335    365    389    418    393    365    345
##   [77,]    312    304    304    336    365    396    427    429    411    380
##   [78,]    332    304    331    341    365    397    434    448    437    426
##   [79,]    372    356    353    359    365    402    443    477    462    448
##   [80,]    404    399    387    377    365    426    469    483    487    472
##   [81,]    426    426    409    401    410    426    473    494    491    487
##   [82,]    453    444    438    436    440    451    477    506    512    518
##   [83,]    474    470    468    467    471    476    502    523    536    548
##         [,498] [,499] [,500] [,501] [,502] [,503] [,504] [,505] [,506] [,507]
##    [1,]    183    180    172    160    146    133    119    106     94     84
##    [2,]    189    184    175    162    146    128    111     98     88     80
##    [3,]    194    187    174    156    139    115     98     87     80     74
##    [4,]    189    177    163    144    123    103     89     80     74     70
##    [5,]    183    179    166    148    129    108     90     79     72     67
##    [6,]    177    179    173    161    142    120     99     84     74     68
##    [7,]    167    172    171    163    151    132    112     94     80     71
##    [8,]    156    160    161    155    146    130    111     93     79     70
##    [9,]    139    146    147    142    137    125    100     80     70     65
##   [10,]    124    126    126    122    121    116     98     79     69     64
##   [11,]    110    109    105    101    103    106     94     81     69     63
##   [12,]     96     92     85     77     79     93     90     80     68     60
##   [13,]     75     73     66     62     60     68     69     67     62     62
##   [14,]     62     60     62     60     61     60     61     60     60     61
##   [15,]     60     60     60     60     60     60     60     60     60     60
##   [16,]     60     60     60     60     60     60     60     60     60     60
##   [17,]     60     60     60     60     60     60     60     60     60     60
##   [18,]     60     60     60     60     60     60     60     60     60     60
##   [19,]     60     60     60     60     60     60     60     60     60     60
##   [20,]     60     60     60     60     60     60     60     60     60     60
##   [21,]     60     60     60     60     60     60     60     60     60     60
##   [22,]     60     60     60     60     60     60     60     60     60     60
##   [23,]     68     60     60     60     60     60     60     60     60     60
##   [24,]     94     81     77     70     74     69     64     60     60     60
##   [25,]    121    105    119     97    117     94     81     69     60     60
##   [26,]    128    142    166    116    148    109     94     81     68     60
##   [27,]    142    182    176    182    172    139    114     97     77     60
##   [28,]    121    148    182    180    182    149    126    121     91     73
##   [29,]    114    121    149    182    165    145    125    116     99     78
##   [30,]    113    118    121    136    154    131    124    108     94     79
##   [31,]    118    120    140    142    147    140    121    112     97     82
##   [32,]    127    145    162    182    182    155    133    121    106     92
##   [33,]    127    144    167    180    181    177    147    128    118    104
##   [34,]    110    121    121    152    182    182    164    142    121    115
##   [35,]    110    118    121    121    182    182    171    156    145    129
##   [36,]    114    121    121    121    182    187    182    170    166    151
##   [37,]    121    182    182    182    206    205    197    182    182    167
##   [38,]    192    220    228    231    238    235    231    217    202    189
##   [39,]    243    233    249    251    252    263    255    243    227    212
##   [40,]    235    243    261    277    292    294    291    271    252    236
##   [41,]    223    243    273    304    302    304    304    304    277    243
##   [42,]    218    243    267    294    304    304    304    304    304    268
##   [43,]    210    243    255    279    304    304    304    304    280    267
##   [44,]    199    224    243    261    290    304    296    282    268    249
##   [45,]    182    221    236    243    276    280    277    265    254    243
##   [46,]    212    233    243    251    265    264    256    249    234    215
##   [47,]    228    243    249    252    273    252    243    230    216    200
##   [48,]    243    241    243    245    245    243    228    218    206    193
##   [49,]    196    224    228    228    220    209    207    199    188    178
##   [50,]    166    182    182    182    182    182    188    182    172    164
##   [51,]    145    151    154    152    155    168    171    162    156    150
##   [52,]    121    128    129    121    128    147    146    143    141    136
##   [53,]    112    109    103    105    115    128    130    127    126    125
##   [54,]     94     76     60     82    107    121    121     82     60     60
##   [55,]     89     60     63     61     60     60     60     60     63     61
##   [56,]     90     79     60     60     60     60     60     60     60     60
##   [57,]    104     92     82     68     60     60     60     60     60     60
##   [58,]    121    109    104     83     60     60     60     60     60     60
##   [59,]    134    121    121     98     75     60     60     60     60     60
##   [60,]    171    156    141    121     98     88     83     82     83     85
##   [61,]    194    182    167    142    121    108    103    104    106    111
##   [62,]    213    200    188    163    132    121    118    116    117    120
##   [63,]    231    219    206    188    162    149    121    121    121    121
##   [64,]    249    237    225    208    195    189    185    167    142    128
##   [65,]    263    251    243    228    224    210    197    182    170    153
##   [66,]    272    259    250    248    245    235    220    205    190    175
##   [67,]    275    267    263    261    257    250    243    228    213    203
##   [68,]    280    275    274    274    271    266    259    243    228    216
##   [69,]    288    285    287    287    285    281    277    263    250    236
##   [70,]    294    293    295    295    294    293    290    287    271    249
##   [71,]    302    302    304    305    309    311    310    307    295    263
##   [72,]    304    304    304    306    322    332    326    318    310    288
##   [73,]    304    304    304    309    340    357    344    333    322    304
##   [74,]    304    304    304    304    365    359    365    352    340    327
##   [75,]    304    304    304    304    365    365    370    370    359    355
##   [76,]    324    304    304    304    365    365    382    390    398    391
##   [77,]    355    335    322    327    345    365    400    419    434    427
##   [78,]    395    365    365    353    353    365    426    442    467    474
##   [79,]    435    415    392    363    360    365    426    457    487    485
##   [80,]    464    452    405    375    364    385    426    458    487    500
##   [81,]    487    487    441    406    410    426    441    462    487    520
##   [82,]    518    511    496    457    423    439    461    479    505    544
##   [83,]    548    548    523    500    487    467    487    521    548    561
##         [,508] [,509] [,510] [,511] [,512] [,513] [,514] [,515] [,516] [,517]
##    [1,]     76     68     63     59     57     57     58     60     63     69
##    [2,]     72     66     61     58     57     58     60     62     64     68
##    [3,]     68     63     59     57     58     60     61     62     63     68
##    [4,]     65     61     58     57     58     60     60     61     63     66
##    [5,]     63     61     59     58     59     60     60     61     63     67
##    [6,]     63     61     60     59     60     60     60     62     66     72
##    [7,]     64     61     61     60     60     60     60     64     71     80
##    [8,]     64     61     61     60     60     60     61     66     77     89
##    [9,]     62     61     61     60     60     60     62     65     79    100
##   [10,]     62     62     61     60     60     60     60     61     73     97
##   [11,]     61     61     61     60     60     60     60     60     64     80
##   [12,]     60     60     60     60     60     60     60     60     60     65
##   [13,]     61     60     60     60     60     60     60     60     60     60
##   [14,]     60     60     60     60     60     60     60     60     60     60
##   [15,]     60     60     60     60     60     60     60     60     60     60
##   [16,]     60     60     60     60     60     60     60     60     60     60
##   [17,]     60     60     60     60     60     60     60     60     60     60
##   [18,]     60     60     60     60     60     60     60     60     60     60
##   [19,]     60     60     60     60     60     60     60     60     60     60
##   [20,]     60     60     60     60     60     60     60     60     60     60
##   [21,]     60     60     60     60     60     60     60     60     60     60
##   [22,]     60     60     60     60     60     60     60     60     60     60
##   [23,]     60     60     60     60     60     60     60     60     60     60
##   [24,]     60     60     60     60     60     60     60     60     60     60
##   [25,]     60     60     60     60     60     60     60     60     60     60
##   [26,]     60     60     60     60     60     60     60     60     60     60
##   [27,]     60     60     60     60     60     60     60     60     60     60
##   [28,]     60     60     60     60     60     60     60     60     60     60
##   [29,]     60     60     60     60     60     60     60     60     60     60
##   [30,]     60     60     60     60     60     60     60     60     60     60
##   [31,]     67     60     60     60     60     60     60     60     60     60
##   [32,]     80     65     60     60     60     60     60     60     60     60
##   [33,]     92     76     60     60     60     60     60     60     60     60
##   [34,]    104     87     72     60     60     60     60     60     60     60
##   [35,]    117    102     89     81     73     67     63     60     60     60
##   [36,]    137    116    108    104     98     84     68     62     60     60
##   [37,]    152    129    121    121    110     90     71     62     61     60
##   [38,]    175    154    135    126    121     94     65     62     60     60
##   [39,]    194    175    148    133    121    100     79     61     60     60
##   [40,]    208    180    157    138    125    115     85     63     60     60
##   [41,]    223    176    156    143    128    121     90     65     60     60
##   [42,]    243    177    155    138    121    104     87     64     61     61
##   [43,]    243    197    158    139    121    106     89     67     60     60
##   [44,]    233    194    161    140    121    105     90     68     60     60
##   [45,]    209    179    158    140    121    104     87     67     60     60
##   [46,]    192    171    151    137    121     99     83     65     60     60
##   [47,]    182    162    144    130    121     90     67     61     61     60
##   [48,]    182    158    138    121    108     88     60     61     60     60
##   [49,]    163    146    134    124    115     79     60     61     60     60
##   [50,]    153    141    133    125    121     60     69     62     60     60
##   [51,]    141    132    125     91     68     70     66     63     60     68
##   [52,]    129    121     60     74     64     68     64     62     73     85
##   [53,]     91     67     67     62     64     63     63     61     85    102
##   [54,]     69     61     62     61     61     61     61     73    101    121
##   [55,]     61     61     61     61     61     61     63     90    121    131
##   [56,]     60     60     61     60     60     60     69     93    121    136
##   [57,]     60     60     60     60     60     60     60     92    121    135
##   [58,]     60     60     60     60     60     60     60     87    121    130
##   [59,]     60     60     60     60     60     60     60     77    113    121
##   [60,]     86     73     64     60     60     60     60     80    121    119
##   [61,]    112     90     76     60     60     60     60     89    105    121
##   [62,]    120    113     96     78     60     60     65     87    103    115
##   [63,]    121    122    121    101     78     60     81     99    109    121
##   [64,]    123    125    123    121     97     97    100    115    120    119
##   [65,]    144    133    128    121    111    112    114    121    121    121
##   [66,]    169    151    139    129    121    119    118    119    121    123
##   [67,]    186    170    153    139    129    121    121    121    121    130
##   [68,]    196    182    162    146    134    125    121    121    121    138
##   [69,]    209    182    168    153    138    123    122    121    131    157
##   [70,]    210    182    168    155    140    121    121    121    121    182
##   [71,]    233    182    172    163    153    132    121    121    121    182
##   [72,]    243    223    182    182    182    162    149    121    155    159
##   [73,]    276    254    233    228    208    195    189    172    170    178
##   [74,]    304    284    279    256    243    226    212    205    203    192
##   [75,]    348    323    311    293    272    253    236    234    233    218
##   [76,]    377    365    344    329    304    284    272    260    252    243
##   [77,]    414    393    378    370    349    335    305    284    278    263
##   [78,]    439    426    409    395    385    372    348    304    304    285
##   [79,]    466    444    426    411    400    386    370    341    324    304
##   [80,]    494    477    456    435    420    403    386    372    368    348
##   [81,]    523    505    487    460    426    412    396    389    382    372
##   [82,]    550    537    517    497    472    431    411    404    399    386
##   [83,]    562    556    548    528    507    472    426    426    426    406
##         [,518] [,519] [,520] [,521] [,522] [,523] [,524] [,525] [,526] [,527]
##    [1,]     76     86     96    106    116    120    116    110    101     92
##    [2,]     74     82     94    107    118    124    123    118    109    100
##    [3,]     70     78     95    114    124    129    129    124    114    103
##    [4,]     70     79     97    113    124    132    133    128    118    107
##    [5,]     72     84    100    115    127    135    138    135    126    117
##    [6,]     80     91    103    116    130    140    145    145    138    131
##    [7,]     89     98    106    119    134    145    152    153    150    146
##    [8,]     99    107    112    122    135    149    156    161    159    158
##    [9,]    112    115    117    119    125    139    154    168    167    167
##   [10,]    111    115    117    117    120    127    129    140    152    156
##   [11,]     97    107    111    108    113    121    124    120    122    134
##   [12,]     83     94     95     96    101    121    121     97     91    101
##   [13,]     66     72     72     66     62     78     81     71     64     65
##   [14,]     60     60     62     60     60     61     60     63     60     62
##   [15,]     60     60     60     61     60     60     60     60     61     60
##   [16,]     60     60     60     60     60     60     60     60     60     60
##   [17,]     60     60     60     60     60     60     60     60     60     60
##   [18,]     60     60     60     60     60     60     60     60     60     60
##   [19,]     60     60     60     60     60     60     60     60     60     60
##   [20,]     60     60     60     60     60     60     60     60     60     60
##   [21,]     60     60     60     60     60     60     60     60     60     60
##   [22,]     60     60     60     60     60     60     60     60     60     60
##   [23,]     60     60     60     60     60     60     60     60     60     60
##   [24,]     60     60     60     60     60     60     60     60     60     60
##   [25,]     60     60     60     60     60     60     60     60     60     60
##   [26,]     60     60     60     60     60     60     60     60     60     60
##   [27,]     60     60     60     60     60     60     60     60     60     60
##   [28,]     60     60     60     60     60     60     60     60     60     60
##   [29,]     60     60     60     60     60     60     60     60     60     60
##   [30,]     60     60     60     60     60     60     60     60     60     60
##   [31,]     60     60     60     60     60     60     60     60     60     60
##   [32,]     60     60     60     60     60     60     60     60     60     60
##   [33,]     60     60     60     60     60     60     60     60     60     60
##   [34,]     60     60     60     60     60     60     60     60     60     60
##   [35,]     60     60     60     60     60     60     60     60     60     60
##   [36,]     60     60     60     60     60     60     60     60     60     60
##   [37,]     60     60     60     60     60     60     60     60     60     60
##   [38,]     60     60     60     60     60     60     60     60     60     60
##   [39,]     60     60     60     60     60     60     60     60     60     60
##   [40,]     60     60     60     60     60     60     60     60     60     60
##   [41,]     60     60     60     60     60     60     60     60     60     60
##   [42,]     60     60     60     60     60     60     60     60     60     60
##   [43,]     60     60     60     60     60     60     60     60     60     60
##   [44,]     60     60     60     60     60     60     60     60     60     60
##   [45,]     60     60     60     60     60     60     60     60     60     60
##   [46,]     60     60     60     60     60     60     60     60     60     60
##   [47,]     60     60     60     60     60     60     60     60     60     60
##   [48,]     60     60     60     60     60     60     60     60     60     60
##   [49,]     60     60     60     60     60     60     60     60     60     60
##   [50,]     60     71     74     75     72     60     60     60     60     60
##   [51,]     80     88     97     98     94     81     67     60     60     60
##   [52,]     98    109    121    121    121    105     90     75     60     60
##   [53,]    115    128    142    161    162    135    114     98     94     92
##   [54,]    132    149    167    180    182    182    151    121    121    121
##   [55,]    145    161    182    181    182    182    182    182    167    133
##   [56,]    150    163    182    182    182    182    182    182    148    137
##   [57,]    148    162    182    182    162    152    152    145    145    130
##   [58,]    138    147    156    155    131    116    110    106    101     91
##   [59,]    124    127    130    126    108     91     77     60     60     65
##   [60,]    120    121    122    122     87     68     63     63     61     60
##   [61,]    121    121    121    106     60     69     61     60     60     60
##   [62,]    121    121    121    103     60     61     62     61     60     60
##   [63,]    119    121    121     71     64     61     61     60     60     60
##   [64,]    120    121     93     66     62     61     61     60     60     60
##   [65,]    121    114     98     77     60     61     60     60     61     60
##   [66,]    121    113    103     83     60     60     60     60     65     60
##   [67,]    130    121    111     93     75     60     60     72     75     67
##   [68,]    143    136    121    103     85     78     78     80     85     80
##   [69,]    172    170    150    123    103     95     96     97     99     95
##   [70,]    178    182    182    151    121    111    111    112    112    111
##   [71,]    182    182    188    176    152    139    132    129    126    124
##   [72,]    182    182    201    197    182    182    165    151    141    131
##   [73,]    181    182    224    231    213    196    182    169    152    136
##   [74,]    182    214    241    243    243    222    189    182    160    139
##   [75,]    218    223    238    242    243    243    182    165    146    128
##   [76,]    236    235    240    243    243    243    199    156    121    121
##   [77,]    249    242    242    243    243    243    192    166    145    116
##   [78,]    266    243    243    245    243    219    193    177    162    136
##   [79,]    284    264    247    248    243    231    214    198    182    154
##   [80,]    319    294    277    262    253    246    235    215    193    170
##   [81,]    365    329    299    277    264    253    247    243    223    190
##   [82,]    371    358    315    288    272    258    248    244    222    189
##   [83,]    385    365    321    291    275    257    243    220    201    192
##         [,528] [,529] [,530] [,531] [,532] [,533] [,534] [,535] [,536] [,537]
##    [1,]     83     74     68     62     57     52     48     46     44     43
##    [2,]     90     80     72     67     63     59     55     53     51     50
##    [3,]     92     83     76     71     67     63     60     58     56     55
##    [4,]     95     88     81     75     69     65     62     60     58     57
##    [5,]    107     97     88     81     74     70     66     64     62     60
##    [6,]    122    112    101     91     85     79     74     72     69     66
##    [7,]    139    132    122    110     99     91     85     83     79     75
##    [8,]    156    153    142    130    119    108     98     94     90     85
##    [9,]    173    175    164    149    137    123    112    106    102     96
##   [10,]    170    170    166    154    141    132    124    118    113    109
##   [11,]    145    160    158    143    134    129    125    123    121    118
##   [12,]    121    121    121    121    121    122    123    122    122    121
##   [13,]     62     60     91    100    114    121    121    121    121    121
##   [14,]     60     61     60     69     93    105    115    121    121    121
##   [15,]     60     60     60     60     78     88     96    100    102    112
##   [16,]     60     60     60     64     67     71     76     78     74     85
##   [17,]     60     60     60     60     60     62     63     63     62     60
##   [18,]     60     60     60     60     60     60     61     60     60     61
##   [19,]     60     60     60     60     60     60     63     60     60     60
##   [20,]     60     60     60     60     60     60     74     76     64     60
##   [21,]     60     60     60     60     60     79     91    101     84     60
##   [22,]     60     60     60     60     79     98    114    119    103     66
##   [23,]     60     60     60     60     89    121    115    121    103     72
##   [24,]     60     60     60     60     86    121    121    121     88     70
##   [25,]     60     60     60     65     71     79     91     92     76     64
##   [26,]     60     60     60     60     60     60     62     60     62     60
##   [27,]     60     60     60     60     60     60     60     60     60     60
##   [28,]     60     60     60     60     60     60     60     60     60     60
##   [29,]     60     60     60     60     60     60     60     60     60     60
##   [30,]     60     60     60     60     60     60     60     60     60     60
##   [31,]     60     60     60     60     60     60     60     60     60     60
##   [32,]     60     60     60     60     60     60     60     60     60     60
##   [33,]     60     60     60     60     60     60     60     60     60     60
##   [34,]     60     60     60     60     60     60     60     60     60     60
##   [35,]     60     60     60     60     60     60     60     60     60     60
##   [36,]     60     60     60     60     60     60     60     60     60     60
##   [37,]     60     60     60     60     60     60     60     60     60     60
##   [38,]     60     60     60     60     60     60     60     60     60     60
##   [39,]     60     60     60     60     60     60     60     60     60     60
##   [40,]     60     60     60     60     60     60     60     60     60     60
##   [41,]     60     60     60     60     60     60     60     60     60     60
##   [42,]     60     60     60     60     60     60     60     60     60     60
##   [43,]     60     60     60     60     60     60     60     60     60     60
##   [44,]     60     60     60     60     60     60     60     60     60     60
##   [45,]     60     60     60     60     60     60     60     60     60     60
##   [46,]     60     60     60     60     60     60     60     60     60     60
##   [47,]     60     60     60     60     60     60     60     60     60     60
##   [48,]     60     60     60     60     60     60     60     60     60     60
##   [49,]     60     60     60     60     60     60     60     60     60     60
##   [50,]     60     60     60     60     60     60     60     60     60     60
##   [51,]     60     60     60     60     60     60     60     60     60     60
##   [52,]     60     60     60     60     60     60     60     60     60     60
##   [53,]     91     91     84     73     65     60     60     60     60     60
##   [54,]    121    121    121    104     89     84     65     60     60     60
##   [55,]    123    121    121    121    106    103     77     60     60     60
##   [56,]    123    121    121    121    121    121     93     60     60     60
##   [57,]    121    121    121    121    121    121     71     63     61     60
##   [58,]     76     76     76     76     76     71     63     61     61     60
##   [59,]     60     60     60     60     60     60     60     60     60     60
##   [60,]     60     60     60     60     60     60     60     60     60     60
##   [61,]     60     60     60     60     60     60     60     60     60     60
##   [62,]     60     60     60     60     60     60     60     60     60     60
##   [63,]     60     60     60     60     60     60     60     60     60     60
##   [64,]     60     60     60     60     60     60     60     60     60     60
##   [65,]     60     60     60     60     60     60     60     60     60     60
##   [66,]     60     60     60     60     60     60     60     60     60     60
##   [67,]     60     60     60     62     61     60     60     60     60     60
##   [68,]     70     60     71     68     66     63     60     60     60     60
##   [69,]     88     86     81     78     73     68     60     60     60     60
##   [70,]    107    102     97     93     86     81     67     60     60     60
##   [71,]    122    117    115    114    104    100     91     73     69     65
##   [72,]    124    122    121    121    121    121    121    104     94     86
##   [73,]    126    123    122    121    103    118    121    121    115    113
##   [74,]    127    123    121    121     81    116    121    122    125    128
##   [75,]    123    102     76     71     60    119    121    124    130    138
##   [76,]     91     60     66     61     60     91    121    126    138    149
##   [77,]     91     60     60     63     61     71    121    128    140    156
##   [78,]    109     77     60     60     60     60     74    121    137    160
##   [79,]    131    121     81     60     60     60     60    101    121    155
##   [80,]    139    121     91     60     60     60     74    121    133    146
##   [81,]    148    121     94     60     60     60     81    121    129    136
##   [82,]    162    133    111     60     60     60     60     84    110    123
##   [83,]    182    157    121    101     60     60     60     60     79    100
##         [,538] [,539] [,540] [,541] [,542] [,543] [,544] [,545] [,546] [,547]
##    [1,]     43     44     45     47     48     47     45     42     39     36
##    [2,]     49     49     49     49     48     47     45     43     41     40
##    [3,]     53     52     51     50     50     49     46     45     44     43
##    [4,]     55     54     52     51     51     49     47     46     45     45
##    [5,]     58     56     54     53     53     50     48     48     47     46
##    [6,]     62     59     57     56     55     52     50     50     49     48
##    [7,]     69     64     61     59     57     54     52     52     52     50
##    [8,]     78     71     66     63     60     57     55     54     54     52
##    [9,]     86     78     72     69     65     61     58     57     56     54
##   [10,]     99     91     85     80     73     66     62     59     58     55
##   [11,]    111    106     99     92     83     72     65     61     60     57
##   [12,]    121    121    112    104     94     80     68     62     60     58
##   [13,]    121    121    121    112    101     85     68     60     59     59
##   [14,]    121    121    121    121    111     92     71     63     60     60
##   [15,]    121    121    121    121    121    100     71     65     63     61
##   [16,]    100    113    121    121    121     95     68     63     62     62
##   [17,]     76     83     87     99     99     78     64     62     63     64
##   [18,]     60     60     60     69     78     68     62     61     63     65
##   [19,]     60     60     60     60     60     62     60     60     64     67
##   [20,]     60     60     60     60     60     61     61     60     65     68
##   [21,]     60     60     60     60     60     60     60     60     60     60
##   [22,]     60     60     60     60     60     60     60     60     60     60
##   [23,]     65     61     60     60     60     60     60     60     60     60
##   [24,]     64     61     60     60     60     60     60     60     60     60
##   [25,]     62     61     60     60     60     60     60     60     60     60
##   [26,]     60     60     60     60     60     60     60     60     60     60
##   [27,]     60     60     60     60     60     60     60     60     60     60
##   [28,]     60     60     60     60     60     60     60     60     60     60
##   [29,]     60     60     60     60     60     60     60     60     60     60
##   [30,]     60     60     60     60     60     60     60     60     60     60
##   [31,]     60     60     60     60     60     60     60     60     60     60
##   [32,]     60     60     60     60     60     60     60     60     60     60
##   [33,]     61     61     60     60     60     60     60     60     60     60
##   [34,]     61     63     62     60     60     62     60     60     60     60
##   [35,]     62     65     67     69     72     70     65     60     60     60
##   [36,]     64     70     74     80     88     89     80     69     60     60
##   [37,]     66     75     84     93    112    121    104     98     79     60
##   [38,]     65     74     84     92    108    121    121    121    111    109
##   [39,]     67     74     78     84     92    110    121    121    121    121
##   [40,]     62     65     68     70     74     98    112    121    121    121
##   [41,]     60     60     61     60     61     88    108    121    121    121
##   [42,]     60     60     60     60     65     87    116    119    121    121
##   [43,]     60     60     60     60     68     89     98    121    121    121
##   [44,]     60     60     60     60     69     77     83     93    112    121
##   [45,]     60     60     60     60     60     62     61     69     88    101
##   [46,]     60     60     60     60     60     60     60     60     70     77
##   [47,]     60     60     60     60     60     60     60     60     60     60
##   [48,]     60     60     60     60     60     60     60     60     60     60
##   [49,]     60     60     60     60     60     60     60     60     60     60
##   [50,]     60     60     60     60     60     60     60     60     60     60
##   [51,]     60     60     60     60     60     60     60     60     60     60
##   [52,]     60     60     60     60     60     60     60     60     60     60
##   [53,]     60     60     60     60     60     60     60     60     60     60
##   [54,]     60     60     60     60     60     60     60     60     60     60
##   [55,]     60     60     60     60     60     60     60     60     60     60
##   [56,]     60     60     60     60     60     60     60     60     60     60
##   [57,]     60     60     60     60     60     60     60     60     60     60
##   [58,]     60     60     60     60     60     60     60     60     60     60
##   [59,]     60     60     60     60     60     60     60     60     60     60
##   [60,]     60     60     60     60     60     60     60     60     60     60
##   [61,]     60     60     60     60     60     60     60     60     60     60
##   [62,]     60     60     60     60     60     60     60     60     60     60
##   [63,]     60     60     60     60     60     60     60     60     60     60
##   [64,]     60     60     60     60     60     60     60     60     60     60
##   [65,]     60     60     60     60     60     60     60     60     60     60
##   [66,]     60     60     60     60     60     60     60     60     60     60
##   [67,]     60     60     60     60     60     60     60     60     60     60
##   [68,]     60     60     60     60     60     60     60     60     60     60
##   [69,]     60     60     60     60     60     60     60     60     60     61
##   [70,]     60     60     60     60     60     60     60     60     60     64
##   [71,]     60     67     65     60     60     60     60     60     60     73
##   [72,]     89     83     77     66     60     60     60     60     60     85
##   [73,]    113    102     92     78     67     60     60     70     83     99
##   [74,]    126    121    114     96     88     85     87     92    103    113
##   [75,]    142    146    139    115    113    112    106    108    116    118
##   [76,]    161    171    182    182    182    182    137    129    124    121
##   [77,]    171    182    197    213    213    188    182    154    134    123
##   [78,]    182    182    220    243    225    201    182    165    139    121
##   [79,]    182    192    201    202    182    182    174    160    139    121
##   [80,]    159    171    173    171    166    156    151    143    130    112
##   [81,]    142    145    144    144    141    136    131    121    113     90
##   [82,]    125    127    121    126    125    107    101     77     81     68
##   [83,]    121    122    101     60     60     60     60     67     60     63
##         [,548] [,549] [,550] [,551] [,552] [,553] [,554] [,555] [,556] [,557]
##    [1,]     34     33     31     30     30     29     29     29     29     29
##    [2,]     38     36     35     34     33     33     33     33     33     33
##    [3,]     41     39     38     37     36     35     36     37     37     37
##    [4,]     43     41     39     39     38     37     38     39     39     39
##    [5,]     44     42     41     41     39     39     40     40     40     41
##    [6,]     45     44     43     43     41     42     42     42     43     43
##    [7,]     47     46     45     45     43     44     44     45     45     45
##    [8,]     49     48     47     47     45     46     46     47     47     47
##    [9,]     51     50     49     49     47     48     49     49     49     49
##   [10,]     53     52     51     51     49     50     51     51     51     51
##   [11,]     55     54     53     53     51     52     52     53     53     53
##   [12,]     56     56     55     55     53     54     54     55     55     55
##   [13,]     58     58     57     56     56     56     56     57     57     57
##   [14,]     60     60     59     59     58     58     58     59     59     60
##   [15,]     60     61     60     60     60     60     60     63     60     70
##   [16,]     64     64     62     60     60     60     69     74     75     87
##   [17,]     66     68     68     66     60     75     85     92    100    111
##   [18,]     69     74     76     77     82     91    101    108    119    126
##   [19,]     73     80     86     91     97    110    121    121    121    141
##   [20,]     71     77     83     88     94    103    106    115    124    140
##   [21,]     63     66     68     69     68     60     60     83    119    137
##   [22,]     60     62     63     63     60     62     60     60    123    132
##   [23,]     60     60     61     60     61     60     60     80    108    125
##   [24,]     60     60     60     60     60     60     60     70     88    121
##   [25,]     60     60     60     60     60     60     60     60     63     62
##   [26,]     60     60     60     60     60     60     60     60     60     60
##   [27,]     60     60     60     60     60     60     60     60     60     60
##   [28,]     60     60     60     60     60     60     60     60     60     60
##   [29,]     60     60     60     60     60     60     60     60     60     60
##   [30,]     60     60     60     60     60     60     60     60     60     60
##   [31,]     60     60     60     60     60     60     60     60     60     60
##   [32,]     60     60     60     60     60     60     60     60     60     60
##   [33,]     60     60     60     60     60     60     60     60     60     60
##   [34,]     60     61     60     60     60     60     60     60     60     60
##   [35,]     66     73     60     60     60     60     60     60     60     60
##   [36,]     77    108     94     74     65     62     60     60     60     60
##   [37,]    111    114    121     89     75     67     62     60     60     60
##   [38,]    119    119    121     94     76     68     62     61     60     60
##   [39,]    120    121     94     81     60     65     60     60     60     60
##   [40,]    121    110     83     66     64     61     61     60     60     60
##   [41,]    118     96     68     65     64     60     60     60     60     60
##   [42,]    118     98     73     60     60     61     60     60     60     60
##   [43,]    121    121    101     82     60     60     60     60     60     60
##   [44,]    121    121    121    101     88     73     60     60     60     60
##   [45,]    118    121    121    121    113    110     80     68     60     64
##   [46,]     97    121    121    121    121     88     86     85     89     81
##   [47,]     70     86     98     99     72     85     93    112    113    112
##   [48,]     60     60     66     60     60     71     90    106    121    121
##   [49,]     60     60     60     61     61     64     72     90    100    109
##   [50,]     60     60     60     60     60     60     60     72     77     79
##   [51,]     60     60     60     60     60     60     60     60     60     60
##   [52,]     60     60     60     60     60     60     60     60     60     60
##   [53,]     60     60     60     60     60     60     60     60     60     60
##   [54,]     60     60     60     60     60     60     60     60     60     60
##   [55,]     60     60     60     60     60     60     60     60     60     60
##   [56,]     60     60     60     60     60     60     60     60     60     60
##   [57,]     60     60     60     60     60     60     60     60     60     60
##   [58,]     60     60     60     60     60     60     60     60     60     60
##   [59,]     60     60     60     60     60     60     60     60     60     60
##   [60,]     60     60     60     60     60     60     60     60     60     60
##   [61,]     60     60     60     60     60     60     60     60     60     60
##   [62,]     60     60     60     60     60     60     60     60     60     60
##   [63,]     60     60     60     60     60     60     60     60     60     60
##   [64,]     60     60     60     60     60     60     60     60     60     60
##   [65,]     60     60     60     60     60     60     60     60     60     60
##   [66,]     60     60     60     60     60     60     60     60     60     60
##   [67,]     60     60     60     60     60     60     60     60     60     60
##   [68,]     60     60     60     60     60     60     60     60     60     60
##   [69,]     60     60     60     60     60     60     60     60     60     60
##   [70,]     60     60     60     60     60     60     60     60     60     60
##   [71,]     76     68     60     60     60     60     60     60     60     60
##   [72,]    101     96     76     60     60     60     60     60     60     60
##   [73,]    121    121    107     71     60     60     60     60     60     60
##   [74,]    121    121    121     90     71     61     61     60     60     60
##   [75,]    118    121    100     90     70     61     61     60     60     60
##   [76,]    121    103     88     67     62     62     61     60     60     60
##   [77,]    121     99     79     60     60     61     61     60     60     60
##   [78,]    105     92     76     63     60     60     60     60     60     60
##   [79,]    102     85     69     60     61     60     60     60     60     60
##   [80,]     94     75     60     61     60     60     60     60     60     60
##   [81,]     74     60     63     60     60     60     60     60     60     60
##   [82,]     62     62     61     61     60     60     60     60     60     60
##   [83,]     60     61     60     60     60     60     60     60     60     60
##         [,558] [,559] [,560] [,561] [,562] [,563] [,564] [,565] [,566] [,567]
##    [1,]     28     28     28     28     28     28     29     30     31     32
##    [2,]     33     32     32     32     32     33     34     36     37     38
##    [3,]     37     37     37     37     37     37     39     41     42     43
##    [4,]     39     39     39     39     39     40     41     43     45     45
##    [5,]     41     41     41     41     41     42     44     45     46     46
##    [6,]     43     43     43     43     43     44     46     47     48     49
##    [7,]     45     45     45     45     46     46     48     49     50     51
##    [8,]     47     47     47     48     48     48     50     51     52     53
##    [9,]     49     49     50     50     50     51     52     53     54     55
##   [10,]     51     52     52     52     53     53     54     55     56     57
##   [11,]     53     53     53     54     54     55     56     56     57     58
##   [12,]     55     55     56     56     56     56     57     57     58     58
##   [13,]     57     58     58     58     58     58     58     59     59     59
##   [14,]     60     63     60     59     59     59     59     59     59     60
##   [15,]     80     76     69     60     60     60     60     60     60     60
##   [16,]    100     99     89     82     80     71     63     60     60     60
##   [17,]    121    121    109    100     98     91     78     67     60     60
##   [18,]    132    142    133    116    115    111     97     80     66     60
##   [19,]    156    182    182    152    151    182    121     96     82     71
##   [20,]    154    166    182    176    175    164    121    105     91     79
##   [21,]    147    157    168    182    174    148    134    117    103     91
##   [22,]    140    146    158    163    160    145    133    121    114    102
##   [23,]    126    128    140    145    140    131    128    125    122    115
##   [24,]    103    111    121    126    124    121    124    123    122    121
##   [25,]     72     79     79     91    107    118    121    122    122    122
##   [26,]     61     60     62     60     71    112    121    121    121    121
##   [27,]     60     60     60     60     60    115    119    121    121    121
##   [28,]     60     60     60     60     68     87    121    119    121    121
##   [29,]     60     60     60     60     60     70     75     91    111    121
##   [30,]     60     60     60     60     60     60     60     60     60     77
##   [31,]     60     60     60     60     60     60     60     60     60     60
##   [32,]     60     60     60     60     60     60     60     60     60     60
##   [33,]     60     60     60     60     60     60     60     60     60     60
##   [34,]     60     60     60     60     60     60     60     60     60     60
##   [35,]     60     60     60     60     60     60     60     60     60     60
##   [36,]     60     60     60     60     60     60     60     60     60     60
##   [37,]     60     60     60     60     60     60     60     60     60     60
##   [38,]     60     60     60     60     60     60     60     60     60     60
##   [39,]     60     60     60     60     60     60     60     60     60     60
##   [40,]     60     60     60     60     60     60     60     60     60     60
##   [41,]     60     60     60     60     60     60     60     60     60     60
##   [42,]     60     60     60     60     60     60     60     60     60     60
##   [43,]     60     60     60     60     60     60     60     60     60     60
##   [44,]     60     60     60     60     60     60     60     60     60     60
##   [45,]     60     60     60     60     60     60     60     60     60     60
##   [46,]     74     60     60     60     60     60     60     60     60     61
##   [47,]    109     84     60     60     60     60     60     60     60     66
##   [48,]    121    121     77     60     60     60     60     60     72     78
##   [49,]    110     80     73     64     60     60     60     79     88     97
##   [50,]     84     70     65     63     63     60     83     95    106    117
##   [51,]     66     66     63     62     65     83     97    121    121    120
##   [52,]     60     60     60     63     70     83     97    109    121    121
##   [53,]     60     60     60     64     74     81     92    105    121    121
##   [54,]     60     60     60     63     65     74     83     92    102    118
##   [55,]     60     60     60     60     60     60     71     77     82     86
##   [56,]     60     60     60     60     60     60     60     62     65     67
##   [57,]     60     60     60     60     60     60     60     60     60     61
##   [58,]     60     60     60     60     60     60     60     60     60     60
##   [59,]     60     60     60     60     60     60     60     60     60     60
##   [60,]     60     60     60     60     60     60     60     60     60     60
##   [61,]     60     60     60     60     60     60     60     60     60     60
##   [62,]     60     60     60     60     60     60     60     60     60     60
##   [63,]     60     60     60     60     60     60     60     60     60     60
##   [64,]     60     60     60     60     60     60     60     60     60     60
##   [65,]     60     60     60     60     60     60     60     60     60     60
##   [66,]     60     60     60     60     60     60     60     60     60     59
##   [67,]     60     60     60     60     60     60     60     60     60     59
##   [68,]     60     60     60     60     60     60     60     60     60     59
##   [69,]     60     60     60     60     60     60     60     60     60     59
##   [70,]     60     60     60     60     60     60     60     60     59     59
##   [71,]     60     60     60     60     60     60     60     60     59     58
##   [72,]     60     60     60     60     60     60     60     60     59     58
##   [73,]     60     60     60     60     60     60     60     60     59     58
##   [74,]     60     60     60     60     60     60     60     60     59     57
##   [75,]     60     60     60     60     60     60     60     60     59     57
##   [76,]     60     60     60     60     60     60     60     60     59     57
##   [77,]     60     60     60     60     60     60     60     60     58     56
##   [78,]     60     60     60     60     60     60     60     60     58     56
##   [79,]     60     60     60     60     60     60     60     60     58     56
##   [80,]     60     60     60     60     60     60     60     60     58     55
##   [81,]     60     60     60     60     60     60     60     60     58     55
##   [82,]     60     60     60     60     60     60     60     60     58     55
##   [83,]     60     60     60     60     60     60     60     60     58     55
##         [,568] [,569] [,570] [,571] [,572] [,573] [,574] [,575] [,576] [,577]
##    [1,]     33     34     35     36     38     40     42     45     51     59
##    [2,]     38     39     41     43     45     47     50     53     57     66
##    [3,]     43     44     46     48     50     53     56     59     63     74
##    [4,]     45     46     49     51     53     56     59     61     66     77
##    [5,]     47     48     51     52     55     57     60     63     70     81
##    [6,]     49     50     52     54     56     59     63     68     75     87
##    [7,]     52     53     54     56     59     64     69     76     83     93
##    [8,]     54     55     56     58     62     69     78     86     93    103
##    [9,]     56     57     58     61     64     74     88     97    104    115
##   [10,]     58     60     63     70     78     90    103    113    127    130
##   [11,]     59     64     75     84     95    108    113    131    155    170
##   [12,]     59     66     88    102    115    120    120    138    164    180
##   [13,]     60     66    106    121    119    121    121    134    154    165
##   [14,]     60     60     91    111    121    121    121    125    141    151
##   [15,]     60     60     60     60     60    121     91    110    126    136
##   [16,]     60     60     60     60     68     64     60     81    101    124
##   [17,]     60     60     60     60     60     60     60     60     60     92
##   [18,]     60     60     60     60     60     60     60     60     60     60
##   [19,]     60     60     60     60     60     60     60     60     60     60
##   [20,]     69     60     60     60     60     60     60     60     60     60
##   [21,]     79     64     60     60     60     60     60     60     60     60
##   [22,]     87     67     60     60     60     60     60     60     60     60
##   [23,]     98     75     60     60     60     60     59     59     59     59
##   [24,]    113     89     60     60     60     60     59     59     59     59
##   [25,]    121    109     80     65     60     60     59     58     58     58
##   [26,]    121    134     94     74     60     60     58     58     58     58
##   [27,]    121    146    100     74     63     59     58     58     58     58
##   [28,]    121    109     89     60     62     58     57     57     57     57
##   [29,]    100     81     66     61     59     57     57     57     57     57
##   [30,]     71     60     62     59     58     57     56     57     57     57
##   [31,]     63     61     60     59     56     57     56     56     56     56
##   [32,]     60     60     59     57     55     55     56     56     56     56
##   [33,]     60     60     58     56     54     54     54     55     55     55
##   [34,]     60     59     57     55     53     53     53     53     53     53
##   [35,]     60     59     56     54     51     51     51     51     51     51
##   [36,]     60     58     56     53     50     50     49     49     48     47
##   [37,]     60     58     55     51     48     48     47     46     44     42
##   [38,]     60     57     53     50     47     45     44     41     38     36
##   [39,]     60     56     53     49     45     41     37     33     30     27
##   [40,]     60     56     52     48     44     40     35     30     27     24
##   [41,]     60     56     52     48     44     41     35     30     26     23
##   [42,]     60     56     52     48     45     41     35     30     27     24
##   [43,]     60     56     52     49     45     42     37     32     29     26
##   [44,]     60     56     53     49     46     43     39     35     32     29
##   [45,]     60     57     53     50     47     45     41     38     35     32
##   [46,]     60     57     54     52     49     47     45     42     39     35
##   [47,]     60     58     56     54     52     51     49     46     42     39
##   [48,]     70     60     58     57     56     55     54     50     46     42
##   [49,]     89     78     67     60     60     60     59     54     49     45
##   [50,]    109     96     88     77     60     70     62     58     52     48
##   [51,]    121    115    113    110     92     79     67     60     53     49
##   [52,]    121    121    121    121    114     96     72     60     55     53
##   [53,]    117    121    121    121    121    109     71     60     57     56
##   [54,]    103     98    113    121    117    107     76     63     59     59
##   [55,]     81     60     82     97    104     86     72     67     67     64
##   [56,]     60     64     60     82     88     78     72     71     72     73
##   [57,]     61     60     60     73     76     73     74     75     79     83
##   [58,]     60     60     60     64     64     67     74     76     82     90
##   [59,]     60     60     60     60     60     60     60     60     71     81
##   [60,]     60     60     60     60     60     60     60     60     60     65
##   [61,]     60     60     60     59     59     59     60     60     60     60
##   [62,]     60     60     59     59     59     59     59     60     60     60
##   [63,]     60     59     59     58     58     59     58     58     59     59
##   [64,]     60     59     58     57     57     58     57     56     56     56
##   [65,]     59     58     58     57     57     57     56     55     54     53
##   [66,]     59     58     57     56     56     55     54     52     52     50
##   [67,]     59     58     57     55     55     54     52     50     49     47
##   [68,]     58     57     56     54     54     52     49     47     46     44
##   [69,]     58     57     56     53     53     50     47     45     43     41
##   [70,]     58     56     55     53     51     48     45     42     40     38
##   [71,]     57     56     55     52     49     46     42     40     38     35
##   [72,]     57     55     54     51     49     44     41     38     36     33
##   [73,]     56     55     53     51     48     44     40     38     35     32
##   [74,]     56     54     53     50     48     44     40     37     35     32
##   [75,]     56     54     53     50     47     43     39     37     35     32
##   [76,]     55     53     52     49     47     43     39     37     35     32
##   [77,]     55     53     51     49     45     42     40     37     35     33
##   [78,]     54     52     51     49     46     42     40     38     36     34
##   [79,]     54     52     50     49     46     43     41     39     37     35
##   [80,]     53     52     50     48     46     43     41     39     37     36
##   [81,]     53     52     50     48     46     43     41     39     38     36
##   [82,]     54     52     50     48     46     43     41     40     38     36
##   [83,]     54     52     50     49     46     43     42     40     38     36
##         [,578] [,579] [,580] [,581] [,582] [,583] [,584] [,585] [,586] [,587]
##    [1,]     69     81     94    108    123    136    147    157    162    165
##    [2,]     77     90    106    124    141    156    167    175    179    180
##    [3,]     86    101    120    141    162    179    186    192    195    195
##    [4,]     90    105    122    141    161    181    197    206    209    208
##    [5,]     94    109    125    144    166    189    207    217    218    216
##    [6,]    101    115    132    151    173    195    212    221    220    216
##    [7,]    105    119    136    157    179    200    214    219    215    207
##    [8,]    114    126    141    161    182    201    211    214    205    194
##    [9,]    124    134    146    160    176    197    219    215    198    175
##   [10,]    143    155    163    171    175    180    187    171    153    140
##   [11,]    166    169    174    178    165    161    157    153    138    128
##   [12,]    182    182    179    182    151    139    131    129    125    112
##   [13,]    176    182    182    182    131    120    113    110    102     92
##   [14,]    157    166    166    147    119    107    100     93     84     76
##   [15,]    140    145    141    133    114     95     85     77     69     60
##   [16,]    126    128    128    125    106     80     67     64     62     62
##   [17,]    121    122    122    121     91     60     64     61     60     61
##   [18,]     76    110    121    111     88     68     60     62     61     60
##   [19,]     72     83     87     92     76     60     63     61     61     60
##   [20,]     60     75     72     73     66     63     61     61     60     60
##   [21,]     60     60     63     62     61     60     60     60     60     60
##   [22,]     60     60     60     60     60     60     60     60     60     60
##   [23,]     59     59     60     59     59     59     59     59     59     59
##   [24,]     59     59     59     59     59     59     59     59     59     59
##   [25,]     58     59     59     59     59     59     59     59     59     59
##   [26,]     58     58     58     58     58     58     58     58     59     59
##   [27,]     58     58     58     58     58     58     58     58     59     59
##   [28,]     57     57     57     58     58     58     58     58     59     59
##   [29,]     57     57     57     57     58     58     58     58     59     59
##   [30,]     57     57     57     57     57     57     58     58     58     58
##   [31,]     56     56     56     57     57     57     57     57     57     57
##   [32,]     56     56     56     56     56     56     56     56     56     56
##   [33,]     55     55     54     54     54     54     54     54     54     54
##   [34,]     53     53     52     52     51     51     50     50     50     50
##   [35,]     50     50     49     48     46     46     45     44     44     44
##   [36,]     46     45     44     42     39     37     36     35     35     35
##   [37,]     41     39     37     34     29     27     25     25     26     26
##   [38,]     33     31     28     23     16     14     13     15     15     16
##   [39,]     24     21     17     10      0      0      0      5      6      6
##   [40,]     21     17     13      4      1      0      0      0      0      0
##   [41,]     19     16     12      6      2      0      0      0      0      0
##   [42,]     20     17     13      8      6      4      2      0      0      0
##   [43,]     23     19     16     12     10      8      6      3      1      0
##   [44,]     25     22     19     16     14     12     10      7      5      1
##   [45,]     29     26     23     19     17     16     14     12      9      5
##   [46,]     32     29     26     23     21     20     18     16     14     10
##   [47,]     35     32     30     27     25     24     23     21     18     14
##   [48,]     39     35     33     30     29     28     27     25     23     19
##   [49,]     41     39     37     34     33     33     32     30     28     24
##   [50,]     45     42     40     37     37     37     36     34     32     29
##   [51,]     47     45     42     40     40     40     39     37     35     32
##   [52,]     50     49     46     44     44     44     44     41     40     36
##   [53,]     53     52     50     48     48     49     48     46     45     41
##   [54,]     57     56     53     52     52     53     53     50     49     46
##   [55,]     60     60     57     56     56     57     57     54     54     51
##   [56,]     75     75     64     59     60     67     63     59     59     55
##   [57,]     89    101     91     60     97     88     76     68     62     60
##   [58,]     99    113    121    121    121    114     88     76     68     62
##   [59,]     88     93    112    121    121    103     96     81     70     62
##   [60,]     70     69     82    104     94     84     69     71     61     56
##   [61,]     60     60     60     69     69     60     60     60     57     51
##   [62,]     60     58     58     60     60     62     60     60     55     46
##   [63,]     56     55     55     56     54     55     57     57     47     40
##   [64,]     53     52     52     52     50     50     51     49     40     34
##   [65,]     50     49     48     48     45     44     45     42     34     29
##   [66,]     47     46     45     43     41     39     39     35     29     23
##   [67,]     44     42     41     39     36     33     32     29     23     17
##   [68,]     41     39     37     35     31     28     25     22     18     12
##   [69,]     38     35     33     30     27     24     21     18     14      9
##   [70,]     35     32     29     27     24     21     18     15     11      6
##   [71,]     33     29     26     23     21     18     16     14      9      4
##   [72,]     31     27     23     21     18     16     14     11      6      1
##   [73,]     30     26     22     20     17     15     12     10      6      3
##   [74,]     30     26     22     20     17     15     13     10      7      4
##   [75,]     30     26     23     20     18     16     14     11      8      6
##   [76,]     30     27     23     21     19     17     15     13     10      7
##   [77,]     31     28     24     22     21     18     17     15     12      9
##   [78,]     32     29     26     24     22     20     18     16     13     11
##   [79,]     33     30     28     25     24     22     20     17     14     13
##   [80,]     34     31     28     26     24     23     21     18     16     14
##   [81,]     34     32     29     27     25     24     22     19     17     15
##   [82,]     35     32     29     28     26     24     22     20     17     16
##   [83,]     35     33     30     28     26     25     23     21     18     16
##         [,588] [,589] [,590] [,591] [,592] [,593] [,594] [,595] [,596] [,597]
##    [1,]    167    170    174    180    187    195    204    213    218    214
##    [2,]    181    182    184    189    195    205    215    226    234    232
##    [3,]    194    194    194    198    205    216    228    241    251    250
##    [4,]    205    204    204    208    214    228    245    261    265    264
##    [5,]    213    212    213    217    223    238    254    269    273    274
##    [6,]    210    212    219    222    226    235    246    258    269    271
##    [7,]    200    205    214    214    217    221    229    239    250    260
##    [8,]    184    186    193    199    204    206    212    222    233    245
##    [9,]    165    168    174    178    189    189    193    199    217    231
##   [10,]    145    148    155    159    171    174    180    189    211    227
##   [11,]    125    127    137    143    154    162    171    183    202    218
##   [12,]    105    105    119    127    138    152    165    175    191    215
##   [13,]     85     86    110    118    121    145    162    176    190    212
##   [14,]     66     74    108    119    130    148    168    182    200    219
##   [15,]     64     81    121    131    146    164    182    195    215    232
##   [16,]     60    106    131    144    158    176    181    199    217    235
##   [17,]     60    106    136    150    164    182    182    191    206    215
##   [18,]     80    107    135    149    163    182    182    182    194    202
##   [19,]     75    109    130    142    151    160    167    165    177    184
##   [20,]     60     92    121    131    134    138    137    142    159    165
##   [21,]     60     69     77    103    106    106    106    121    140    151
##   [22,]     60     60     60     60     60     60     60     96    121    137
##   [23,]     60     60     60     60     60     60     60     77    121    129
##   [24,]     60     60     60     60     60     60     60     82    101    121
##   [25,]     59     60     60     60     60     60     60     75     87     95
##   [26,]     59     60     60     60     60     60     60     62     66     68
##   [27,]     59     60     60     60     60     60     60     60     60     61
##   [28,]     59     60     60     60     60     60     60     60     59     57
##   [29,]     59     60     60     60     60     60     60     60     58     56
##   [30,]     59     60     60     60     60     60     60     59     56     53
##   [31,]     58     59     60     60     60     60     60     59     53     49
##   [32,]     56     57     58     60     60     60     60     58     51     46
##   [33,]     54     56     56     58     60     60     60     53     47     42
##   [34,]     51     52     53     54     58     60     60     51     44     38
##   [35,]     44     45     46     47     50     55     55     47     40     34
##   [36,]     36     37     38     39     42     46     43     37     32     28
##   [37,]     27     28     29     30     32     35     32     27     24     20
##   [38,]     18     19     20     21     23     25     22     21     18     15
##   [39,]      9     10     11     12     13     14     13     13     11      8
##   [40,]      3      4      5      6      7      7      7      6      5      3
##   [41,]      0      0      1      1      1      1      1      1      1      0
##   [42,]      0      0      0      0      0      0      0      0      0      0
##   [43,]      0      0      0      0      0      0      0      0      0      0
##   [44,]      0      0      0      2      2      2      1      2      2      2
##   [45,]      2      2      5      5      5      5      4      4      4      4
##   [46,]      7      8      9      9      9      8      7      7      6      5
##   [47,]     12     12     13     13     12     11     10      9      8      7
##   [48,]     17     17     17     17     16     14     12     11      9      8
##   [49,]     21     21     21     19     18     17     14     12     10      9
##   [50,]     26     26     25     23     21     19     17     14     12     11
##   [51,]     29     29     28     26     24     22     19     16     14     13
##   [52,]     34     33     32     30     28     24     21     19     16     14
##   [53,]     39     38     35     33     31     27     24     21     19     17
##   [54,]     43     42     39     37     34     30     26     24     21     19
##   [55,]     48     46     43     40     37     33     29     26     23     21
##   [56,]     53     50     47     44     40     36     31     28     25     22
##   [57,]     57     56     51     47     43     38     33     30     27     24
##   [58,]     60     58     53     49     45     39     34     31     28     25
##   [59,]     56     54     50     48     44     39     34     31     28     25
##   [60,]     53     50     48     45     42     38     33     31     28     25
##   [61,]     47     45     43     40     38     35     31     29     26     24
##   [62,]     42     40     38     36     34     31     28     26     24     21
##   [63,]     36     34     33     31     29     26     24     22     20     18
##   [64,]     30     29     27     25     23     21     18     17     16     14
##   [65,]     25     23     21     18     17     15     13     12     11     10
##   [66,]     19     17     14     11     10      9      8      7      7      6
##   [67,]     14     10      7      3      4      4      4      4      3      3
##   [68,]      9      5      0      1      0      1      1      1      1      1
##   [69,]      6      3      0      0      0      0      0      0      0      0
##   [70,]      3      1      0      0      0      0      0      0      0      0
##   [71,]      2      1      0      0      0      0      0      0      0      0
##   [72,]      0      0      0      0      0      0      0      0      0      0
##   [73,]      2      1      0      0      0      0      0      0      0      0
##   [74,]      3      2      2      1      0      0      0      0      0      0
##   [75,]      5      4      3      2      1      0      0      0      0      0
##   [76,]      6      5      4      3      2      1      0      0      0      0
##   [77,]      8      7      5      4      2      1      0      0      0      0
##   [78,]      9      8      6      5      3      1      0      0      0      0
##   [79,]     11     10      8      6      4      2      1      0      0      0
##   [80,]     12     11      9      7      5      3      1      0      0      0
##   [81,]     13     12     10      8      6      3      2      1      0      0
##   [82,]     14     12     10      9      7      4      3      1      0      0
##   [83,]     15     13     11     10      8      5      3      2      1      0
##         [,598] [,599] [,600] [,601] [,602] [,603] [,604] [,605] [,606] [,607]
##    [1,]    208    200    189    175    162    147    135    127    126    129
##    [2,]    227    219    206    190    174    156    145    138    145    150
##    [3,]    246    236    220    200    178    156    147    153    165    169
##    [4,]    261    254    241    224    205    188    180    174    183    185
##    [5,]    271    266    258    246    233    218    207    201    201    200
##    [6,]    274    273    268    260    254    242    230    222    217    211
##    [7,]    266    271    273    272    267    257    246    238    228    219
##    [8,]    256    266    276    283    278    268    257    246    236    220
##    [9,]    246    261    282    294    296    270    257    243    228    211
##   [10,]    242    258    276    288    286    279    262    238    214    194
##   [11,]    231    244    259    271    266    256    230    207    188    170
##   [12,]    228    237    243    251    252    243    208    182    166    145
##   [13,]    226    237    240    243    243    219    182    178    154    121
##   [14,]    232    242    242    242    243    236    212    182    165    152
##   [15,]    243    240    243    243    243    243    243    207    182    178
##   [16,]    242    243    243    243    243    243    243    222    199    182
##   [17,]    218    234    243    243    243    243    243    237    211    198
##   [18,]    201    216    233    243    243    243    243    227    220    202
##   [19,]    182    192    216    243    243    243    233    220    206    194
##   [20,]    174    179    182    217    243    243    224    209    193    182
##   [21,]    161    170    178    190    222    243    217    197    182    172
##   [22,]    149    157    164    172    192    198    202    182    157    145
##   [23,]    138    144    149    154    166    171    167    152    131    119
##   [24,]    128    131    133    135    140    136    134    121    111    103
##   [25,]     98     91    101     91    111    106    108     99     92     85
##   [26,]     60     64     60     63     60     60     75     78     76     71
##   [27,]     58     57     57     58     59     60     60     67     68     66
##   [28,]     54     53     52     52     55     58     60     60     61     62
##   [29,]     52     50     47     47     49     51     52     57     60     60
##   [30,]     48     46     42     41     41     42     43     46     48     47
##   [31,]     44     41     37     35     33     33     33     36     38     37
##   [32,]     40     36     32     28     25     24     23     25     28     27
##   [33,]     36     32     27     22     16     14     13     14     18     18
##   [34,]     32     27     22     15      8      3      3      3      9      9
##   [35,]     28     22     17      9      0      1      0      0      0      2
##   [36,]     23     18     13      6      0      0      0      0      0      0
##   [37,]     16     12      8      1      0      0      0      0      0      0
##   [38,]     11      8      4      0      0      0      0      0      0      0
##   [39,]      5      1      0      0      0      0      0      0      0      0
##   [40,]      0      1      0      0      0      0      0      0      0      0
##   [41,]      0      0      0      0      0      0      0      0      0      0
##   [42,]      0      0      0      0      0      0      0      0      0      0
##   [43,]      1      1      1      0      0      0      0      0      0      0
##   [44,]      2      2      1      0      0      0      0      0      0      0
##   [45,]      3      3      2      1      0      0      0      0      0      0
##   [46,]      4      3      3      1      1      0      0      0      0      0
##   [47,]      5      5      3      2      1      0      0      0      0      0
##   [48,]      7      6      4      3      1      0      0      0      0      0
##   [49,]      8      7      5      3      2      1      0      0      0      0
##   [50,]      9      8      5      3      2      1      0      0      0      0
##   [51,]     11      9      6      4      2      1      0      0      0      0
##   [52,]     12     10      7      4      3      1      0      0      0      0
##   [53,]     14     12      9      5      3      1      0      0      0      0
##   [54,]     16     14     10      7      5      2      1      0      0      0
##   [55,]     18     15     11      8      6      3      1      0      0      0
##   [56,]     19     17     13      9      7      4      2      0      0      0
##   [57,]     21     18     14     10      8      5      3      1      0      0
##   [58,]     22     19     15     11      9      7      4      2      0      0
##   [59,]     23     20     16     12     10      7      5      3      0      0
##   [60,]     22     20     16     12     10      8      6      4      1      0
##   [61,]     21     18     15     12     10      8      6      5      2      0
##   [62,]     20     17     14     12     10      8      7      5      3      1
##   [63,]     17     14     12     10      9      7      6      5      3      1
##   [64,]     13     11      9      8      7      6      4      3      2      1
##   [65,]      9      8      6      5      5      4      3      2      1      0
##   [66,]      6      5      4      3      3      2      1      1      0      0
##   [67,]      3      2      2      1      1      1      0      0      0      0
##   [68,]      1      1      0      0      0      0      0      0      0      0
##   [69,]      0      0      0      0      0      0      0      0      0      0
##   [70,]      0      0      0      0      0      0      0      0      0      0
##   [71,]      0      0      0      0      0      0      0      0      0      0
##   [72,]      0      0      0      0      0      0      0      0      0      0
##   [73,]      0      0      0      0      0      0      0      0      0      0
##   [74,]      0      0      0      0      0      0      0      0      0      0
##   [75,]      0      0      0      0      0      0      0      0      0      0
##   [76,]      0      0      0      0      0      0      0      0      0      0
##   [77,]      0      0      0      0      0      0      0      0      0      0
##   [78,]      0      0      0      0      0      0      0      0      0      0
##   [79,]      0      0      0      0      0      0      0      0      0      0
##   [80,]      0      0      0      0      0      0      0      0      0      0
##   [81,]      0      0      0      0      0      0      0      0      0      0
##   [82,]      0      0      0      0      0      0      0      0      0      0
##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,608] [,609] [,610] [,611] [,612] [,613] [,614] [,615] [,616] [,617]
##    [1,]    128    121    112    101     90     80     72     64     60     60
##    [2,]    145    136    124    111     97     86     77     72     70     69
##    [3,]    161    149    132    113     98     85     84     83     82     81
##    [4,]    178    167    153    139    125    112    102    101    101     99
##    [5,]    192    184    172    159    146    134    125    123    124    122
##    [6,]    202    193    182    171    161    152    146    144    145    145
##    [7,]    208    196    184    173    164    158    163    165    167    163
##    [8,]    204    188    173    161    153    153    161    166    170    173
##    [9,]    192    171    153    138    129    137    148    162    171    177
##   [10,]    172    151    132    120    108    114    130    146    160    168
##   [11,]    150    130    111     96     86     88    108    124    137    143
##   [12,]    129    113     90     68     62     61     60     92    124    126
##   [13,]    125    105     82     60     60     61     60     60     91    121
##   [14,]    135    112     90     77     65     60     60     60     60     70
##   [15,]    182    152    101     86     73     63     60     60     60     60
##   [16,]    177    138    109     92     77     60     61     60     60     60
##   [17,]    182    143    118    103     89     78     66     60     60     60
##   [18,]    186    162    121    114    102     91     80     65     60     60
##   [19,]    186    183    169    137    116    106     93     80     67     63
##   [20,]    184    182    183    182    140    121    106     95     83     74
##   [21,]    167    170    171    153    140    126    118    111     95     82
##   [22,]    142    149    147    138    130    126    124    121    108     87
##   [23,]    122    128    128    129    126    123    122    122    107     86
##   [24,]     98     81     60    121    121    121    106     91     81     68
##   [25,]     71     63     63     60     85     85     80     64     59     60
##   [26,]     61     58     58     58     60     64     60     55     55     56
##   [27,]     60     56     53     55     57     60     55     50     51     53
##   [28,]     58     50     47     48     51     50     46     42     45     48
##   [29,]     48     42     41     42     44     42     39     35     38     40
##   [30,]     40     35     34     35     37     35     32     29     31     32
##   [31,]     32     28     28     28     30     28     25     22     22     22
##   [32,]     25     22     22     22     23     21     18     16     15     13
##   [33,]     18     16     15     15     15     14     13     11      9      8
##   [34,]     11     10     10      9      9      8      8      6      5      4
##   [35,]      4      5      5      5      4      4      3      3      3      2
##   [36,]      0      1      1      1      1      1      1      1      1      1
##   [37,]      0      0      0      0      0      0      0      0      0      0
##   [38,]      0      0      0      0      0      0      0      0      0      0
##   [39,]      0      0      0      0      0      0      0      0      0      0
##   [40,]      0      0      0      0      0      0      0      0      0      0
##   [41,]      0      0      0      0      0      0      0      0      0      0
##   [42,]      0      0      0      0      0      0      0      0      0      0
##   [43,]      0      0      0      0      0      0      0      0      0      0
##   [44,]      0      0      0      0      0      0      0      0      0      0
##   [45,]      0      0      0      0      0      0      0      0      0      0
##   [46,]      0      0      0      0      0      0      0      0      0      0
##   [47,]      0      0      0      0      0      0      0      0      0      0
##   [48,]      0      0      0      0      0      0      0      0      0      0
##   [49,]      0      0      0      0      0      0      0      0      0      0
##   [50,]      0      0      0      0      0      0      0      0      0      0
##   [51,]      0      0      0      0      0      0      0      0      0      0
##   [52,]      0      0      0      0      0      0      0      0      0      0
##   [53,]      0      0      0      0      0      0      0      0      0      0
##   [54,]      0      0      0      0      0      0      0      0      0      0
##   [55,]      0      0      0      0      0      0      0      0      0      0
##   [56,]      0      0      0      0      0      0      0      0      0      0
##   [57,]      0      0      0      0      0      0      0      0      0      0
##   [58,]      0      0      0      0      0      0      0      0      0      0
##   [59,]      0      0      0      0      0      0      0      0      0      0
##   [60,]      0      0      0      0      0      0      0      0      0      0
##   [61,]      0      0      0      0      0      0      0      0      0      0
##   [62,]      0      0      0      0      0      0      0      0      0      0
##   [63,]      0      0      0      0      0      0      0      0      0      0
##   [64,]      0      0      0      0      0      0      0      0      0      0
##   [65,]      0      0      0      0      0      0      0      0      0      0
##   [66,]      0      0      0      0      0      0      0      0      0      0
##   [67,]      0      0      0      0      0      0      0      0      0      0
##   [68,]      0      0      0      0      0      0      0      0      0      0
##   [69,]      0      0      0      0      0      0      0      0      0      0
##   [70,]      0      0      0      0      0      0      0      0      0      0
##   [71,]      0      0      0      0      0      0      0      0      0      0
##   [72,]      0      0      0      0      0      0      0      0      0      0
##   [73,]      0      0      0      0      0      0      0      0      0      0
##   [74,]      0      0      0      0      0      0      0      0      0      0
##   [75,]      0      0      0      0      0      0      0      0      0      0
##   [76,]      0      0      0      0      0      0      0      0      0      0
##   [77,]      0      0      0      0      0      0      0      0      0      0
##   [78,]      0      0      0      0      0      0      0      0      0      0
##   [79,]      0      0      0      0      0      0      0      0      0      0
##   [80,]      0      0      0      0      0      0      0      0      0      0
##   [81,]      0      0      0      0      0      0      0      0      0      0
##   [82,]      0      0      0      0      0      0      0      0      0      0
##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,618] [,619] [,620] [,621] [,622] [,623] [,624] [,625] [,626] [,627]
##    [1,]     62     65     71     79     88     97    106    108    107    102
##    [2,]     71     73     79     88     98    107    114    114    111    107
##    [3,]     82     83     88    100    112    121    121    120    114    106
##    [4,]     98     97    100    106    114    118    117    109    103     95
##    [5,]    118    113    114    113    114    113    109    101     93     85
##    [6,]    138    130    128    120    112    105     97     90     82     76
##    [7,]    155    148    140    122    105     94     86     80     74     69
##    [8,]    167    157    138    114     94     81     74     70     67     64
##    [9,]    168    157    140    110     84     71     64     62     62     61
##   [10,]    154    142    131    111     87     72     64     61     60     60
##   [11,]    133    124    119    105     87     73     64     61     60     60
##   [12,]    121    109    105    102     82     60     62     61     60     60
##   [13,]     97     89     74     60     60     65     61     60     60     60
##   [14,]     72     67     62     62     61     60     62     60     60     60
##   [15,]     60     60     60     61     60     60     60     60     60     60
##   [16,]     60     60     60     60     60     60     60     59     58     58
##   [17,]     60     60     60     60     60     60     59     58     56     56
##   [18,]     60     60     60     60     60     60     58     56     54     53
##   [19,]     60     60     60     60     60     59     57     55     52     50
##   [20,]     65     60     60     60     60     58     55     52     49     47
##   [21,]     71     63     60     60     59     56     53     50     46     44
##   [22,]     71     60     61     60     56     54     50     47     44     41
##   [23,]     65     61     60     60     56     52     49     45     42     38
##   [24,]     69     60     60     60     56     52     48     45     41     37
##   [25,]     62     63     60     60     57     53     49     46     42     38
##   [26,]     59     60     61     60     59     55     53     50     46     42
##   [27,]     54     57     60     60     60     60     60     60     53     49
##   [28,]     50     52     57     60     60     60     60     60     60     60
##   [29,]     42     43     47     49     55     60     60     60     60     51
##   [30,]     32     33     35     35     38     39     38     41     37     33
##   [31,]     22     21     21     20     20     19     15     22     21     18
##   [32,]     12     11      9      6      3      3      1      5      5      5
##   [33,]      6      4      2      0      0      0      0      0      0      0
##   [34,]      3      1      0      0      0      0      0      0      0      0
##   [35,]      1      0      0      0      0      0      0      0      0      0
##   [36,]      0      0      0      0      0      0      0      0      0      0
##   [37,]      0      0      0      0      0      0      0      0      0      0
##   [38,]      0      0      0      0      0      0      0      0      0      0
##   [39,]      0      0      0      0      0      0      0      0      0      0
##   [40,]      0      0      0      0      0      0      0      0      0      0
##   [41,]      0      0      0      0      0      0      0      0      0      0
##   [42,]      0      0      0      0      0      0      0      0      0      0
##   [43,]      0      0      0      0      0      0      0      0      0      0
##   [44,]      0      0      0      0      0      0      0      0      0      0
##   [45,]      0      0      0      0      0      0      0      0      0      0
##   [46,]      0      0      0      0      0      0      0      0      0      0
##   [47,]      0      0      0      0      0      0      0      0      0      0
##   [48,]      0      0      0      0      0      0      0      0      0      0
##   [49,]      0      0      0      0      0      0      0      0      0      0
##   [50,]      0      0      0      0      0      0      0      0      0      0
##   [51,]      0      0      0      0      0      0      0      0      0      0
##   [52,]      0      0      0      0      0      0      0      0      0      0
##   [53,]      0      0      0      0      0      0      0      0      0      0
##   [54,]      0      0      0      0      0      0      0      0      0      0
##   [55,]      0      0      0      0      0      0      0      0      0      0
##   [56,]      0      0      0      0      0      0      0      0      0      0
##   [57,]      0      0      0      0      0      0      0      0      0      0
##   [58,]      0      0      0      0      0      0      0      0      0      0
##   [59,]      0      0      0      0      0      0      0      0      0      0
##   [60,]      0      0      0      0      0      0      0      0      0      0
##   [61,]      0      0      0      0      0      0      0      0      0      0
##   [62,]      0      0      0      0      0      0      0      0      0      0
##   [63,]      0      0      0      0      0      0      0      0      0      0
##   [64,]      0      0      0      0      0      0      0      0      0      0
##   [65,]      0      0      0      0      0      0      0      0      0      0
##   [66,]      0      0      0      0      0      0      0      0      0      0
##   [67,]      0      0      0      0      0      0      0      0      0      0
##   [68,]      0      0      0      0      0      0      0      0      0      0
##   [69,]      0      0      0      0      0      0      0      0      0      0
##   [70,]      0      0      0      0      0      0      0      0      0      0
##   [71,]      0      0      0      0      0      0      0      0      0      0
##   [72,]      0      0      0      0      0      0      0      0      0      0
##   [73,]      0      0      0      0      0      0      0      0      0      0
##   [74,]      0      0      0      0      0      0      0      0      0      0
##   [75,]      0      0      0      0      0      0      0      0      0      0
##   [76,]      0      0      0      0      0      0      0      0      0      0
##   [77,]      0      0      0      0      0      0      0      0      0      0
##   [78,]      0      0      0      0      0      0      0      0      0      0
##   [79,]      0      0      0      0      0      0      0      0      0      0
##   [80,]      0      0      0      0      0      0      0      0      0      0
##   [81,]      0      0      0      0      0      0      0      0      0      0
##   [82,]      0      0      0      0      0      0      0      0      0      0
##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,628] [,629] [,630] [,631] [,632] [,633] [,634] [,635] [,636] [,637]
##    [1,]     95     87     79     72     66     61     57     53     50     47
##    [2,]     99     90     81     73     66     60     55     50     45     42
##    [3,]     98     87     78     70     63     56     50     45     41     37
##    [4,]     86     79     72     66     60     54     48     43     39     35
##    [5,]     78     72     68     63     58     52     46     41     37     34
##    [6,]     71     68     65     62     56     50     45     40     36     33
##    [7,]     66     64     63     60     54     49     43     38     35     32
##    [8,]     63     62     62     58     52     47     42     37     34     32
##    [9,]     61     62     61     57     50     45     40     36     33     31
##   [10,]     60     61     60     55     48     43     39     35     33     31
##   [11,]     60     61     60     53     46     42     38     34     32     30
##   [12,]     60     61     62     50     44     40     37     32     31     30
##   [13,]     60     62     62     48     42     39     35     31     31     29
##   [14,]     60     61     61     46     41     38     35     30     30     29
##   [15,]     60     60     61     43     39     36     33     30     30     29
##   [16,]     60     60     46     40     37     35     32     29     29     29
##   [17,]     56     54     43     37     35     33     31     28     28     29
##   [18,]     53     50     40     35     34     32     30     27     27     28
##   [19,]     49     45     37     32     32     31     29     26     24     24
##   [20,]     44     40     35     30     28     27     25     22     19     17
##   [21,]     40     35     32     28     23     20     17     13      8      6
##   [22,]     36     30     27     23     19     15      9      3      0      0
##   [23,]     32     26     22     18     14      9      3      0      0      0
##   [24,]     31     24     19     14      9      5      0      0      0      0
##   [25,]     31     23     18     13      7      3      0      0      0      0
##   [26,]     33     23     16     10      4      0      0      0      0      0
##   [27,]     37     23     15      7      0      0      0      0      0      0
##   [28,]     46     25     14      5      0      0      0      0      0      0
##   [29,]     39     23     11      0      0      0      0      0      0      0
##   [30,]     24     17      9      0      0      0      0      0      0      0
##   [31,]     14      9      5      2      0      0      0      0      0      0
##   [32,]      6      2      1      0      0      0      0      0      0      0
##   [33,]      0      0      0      0      0      0      0      0      0      0
##   [34,]      0      0      0      0      0      0      0      0      0      0
##   [35,]      0      0      0      0      0      0      0      0      0      0
##   [36,]      0      0      0      0      0      0      0      0      0      0
##   [37,]      0      0      0      0      0      0      0      0      0      0
##   [38,]      0      0      0      0      0      0      0      0      0      0
##   [39,]      0      0      0      0      0      0      0      0      0      0
##   [40,]      0      0      0      0      0      0      0      0      0      0
##   [41,]      0      0      0      0      0      0      0      0      0      0
##   [42,]      0      0      0      0      0      0      0      0      0      0
##   [43,]      0      0      0      0      0      0      0      0      0      0
##   [44,]      0      0      0      0      0      0      0      0      0      0
##   [45,]      0      0      0      0      0      0      0      0      0      0
##   [46,]      0      0      0      0      0      0      0      0      0      0
##   [47,]      0      0      0      0      0      0      0      0      0      0
##   [48,]      0      0      0      0      0      0      0      0      0      0
##   [49,]      0      0      0      0      0      0      0      0      0      0
##   [50,]      0      0      0      0      0      0      0      0      0      0
##   [51,]      0      0      0      0      0      0      0      0      0      0
##   [52,]      0      0      0      0      0      0      0      0      0      0
##   [53,]      0      0      0      0      0      0      0      0      0      0
##   [54,]      0      0      0      0      0      0      0      0      0      0
##   [55,]      0      0      0      0      0      0      0      0      0      0
##   [56,]      0      0      0      0      0      0      0      0      0      0
##   [57,]      0      0      0      0      0      0      0      0      0      0
##   [58,]      0      0      0      0      0      0      0      0      0      0
##   [59,]      0      0      0      0      0      0      0      0      0      0
##   [60,]      0      0      0      0      0      0      0      0      0      0
##   [61,]      0      0      0      0      0      0      0      0      0      0
##   [62,]      0      0      0      0      0      0      0      0      0      0
##   [63,]      0      0      0      0      0      0      0      0      0      0
##   [64,]      0      0      0      0      0      0      0      0      0      0
##   [65,]      0      0      0      0      0      0      0      0      0      0
##   [66,]      0      0      0      0      0      0      0      0      0      0
##   [67,]      0      0      0      0      0      0      0      0      0      0
##   [68,]      0      0      0      0      0      0      0      0      0      0
##   [69,]      0      0      0      0      0      0      0      0      0      0
##   [70,]      0      0      0      0      0      0      0      0      0      0
##   [71,]      0      0      0      0      0      0      0      0      0      0
##   [72,]      0      0      0      0      0      0      0      0      0      0
##   [73,]      0      0      0      0      0      0      0      0      0      0
##   [74,]      0      0      0      0      0      0      0      0      0      0
##   [75,]      0      0      0      0      0      0      0      0      0      0
##   [76,]      0      0      0      0      0      0      0      0      0      0
##   [77,]      0      0      0      0      0      0      0      0      0      0
##   [78,]      0      0      0      0      0      0      0      0      0      0
##   [79,]      0      0      0      0      0      0      0      0      0      0
##   [80,]      0      0      0      0      0      0      0      0      0      0
##   [81,]      0      0      0      0      0      0      0      0      0      0
##   [82,]      0      0      0      0      0      0      0      0      0      0
##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,638] [,639] [,640] [,641] [,642] [,643] [,644] [,645] [,646] [,647]
##    [1,]     43     40     36     32     28     24     20     16     13      9
##    [2,]     39     36     33     29     25     22     19     15     12      9
##    [3,]     35     33     30     26     23     20     17     14     11      9
##    [4,]     33     31     29     26     23     20     17     15     12     10
##    [5,]     32     31     28     26     23     21     18     17     14     12
##    [6,]     31     31     28     27     24     22     19     18     16     14
##    [7,]     31     31     28     27     24     23     21     20     18     17
##    [8,]     31     30     28     27     25     24     22     22     20     19
##    [9,]     30     30     28     28     26     25     24     24     22     21
##   [10,]     30     30     28     28     26     26     25     25     24     24
##   [11,]     30     30     28     28     27     28     27     28     27     27
##   [12,]     30     30     29     29     28     28     28     29     28     29
##   [13,]     29     30     29     29     29     30     30     31     31     31
##   [14,]     29     30     29     30     30     31     32     33     33     34
##   [15,]     29     30     30     30     31     32     34     35     36     37
##   [16,]     29     30     30     31     32     33     34     35     36     38
##   [17,]     29     29     30     30     32     32     33     34     36     38
##   [18,]     28     27     27     28     28     29     30     32     34     36
##   [19,]     23     22     21     21     22     22     24     27     30     33
##   [20,]     15     11     11     10     10     11     15     20     24     28
##   [21,]      2      0      0      0      0      0      4     10     16     21
##   [22,]      0      0      0      0      0      0      0      0      7     10
##   [23,]      0      0      0      0      0      0      0      0      0      0
##   [24,]      0      0      0      0      0      0      0      0      0      0
##   [25,]      0      0      0      0      0      0      0      0      0      0
##   [26,]      0      0      0      0      0      0      0      0      0      0
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##   [13,]     29     28     27     26     25     24     24     23     22     22
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##   [47,]     13      6      4      4      4      5      4      2      0      0
##   [48,]     23     12      9      9      8      8      7      4      1      0
##   [49,]     33     18     16     16     14     14     11      7      3      0
##   [50,]     40     23     24     22     21     18     15     11      6      3
##   [51,]     39     28     31     29     27     23     20     15      9      5
##   [52,]     33     34     38     35     33     30     26     19     13      7
##   [53,]     36     40     46     46     45     40     35     28     21     16
##   [54,]     42     48     54     60     60     52     46     38     30     27
##   [55,]     38     49     57     60     60     60     57     48     40     39
##   [56,]     30     42     49     54     60     60     60     57     51     52
##   [57,]     22     34     41     48     53     58     60     60     59     60
##   [58,]     14     27     34     41     47     52     59     60     65     65
##   [59,]      9     22     29     37     43     49     56     60     68     75
##   [60,]      3     16     24     31     38     45     54     60     74     88
##   [61,]      3     14     22     29     37     44     56     68     78     99
##   [62,]      3     14     21     28     35     42     51     59     68     96
##   [63,]      6     14     20     26     32     39     49     58     60     86
##   [64,]      8     15     20     25     31     37     48     60     65     70
##   [65,]      9     14     17     22     28     33     43     53     60     60
##   [66,]      6      8     10     15     21     26     36     45     49     49
##   [67,]      0      0      0      6     12     18     27     36     41     42
##   [68,]      0      0      0      0      3      9     21     30     35     38
##   [69,]      0      0      0      0      0      0     12     21     28     32
##   [70,]      0      0      0      0      0      0      3     11     21     25
##   [71,]      0      0      0      0      0      0      0      2     14     19
##   [72,]      0      0      0      0      0      0      0      0      7     13
##   [73,]      0      0      0      0      0      0      0      0      3      9
##   [74,]      0      0      0      0      0      0      0      0      0      8
##   [75,]      0      0      0      0      0      0      0      0      6     10
##   [76,]      0      0      0      0      0      0      0      0      7     14
##   [77,]      0      0      0      0      0      0      0      1      8     14
##   [78,]      0      0      0      0      0      0      0      3      9     15
##   [79,]      0      0      0      0      0      0      0      3      8     15
##   [80,]      0      0      0      0      0      0      0      0      2     11
##   [81,]      0      0      0      0      0      0      0      0      0      4
##   [82,]      0      0      0      0      0      0      0      0      0      0
##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,708] [,709] [,710] [,711] [,712] [,713] [,714] [,715] [,716] [,717]
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##    [3,]      0      0      0      0      0      0      0      0      0      0
##    [4,]      0      0      0      0      0      0      0      0      0      0
##    [5,]      0      0      0      0      0      0      0      0      0      0
##    [6,]      0      0      0      0      0      0      0      0      0      0
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##   [13,]      0      0      0      0      0      0      0      0      0      0
##   [14,]      0      0      0      0      0      0      0      0      0      0
##   [15,]      0      0      0      0      0      0      0      0      0      0
##   [16,]      0      0      0      0      0      0      0      0      0      0
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##   [34,]      0      0      0      0      0      0      0      0      0      0
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##   [36,]      0      0      0      0      0      0      0      0      0      0
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##   [49,]      0      0      0      0      0      0      0      0      0      0
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##   [51,]      1      0      0      0      0      0      0      0      0      0
##   [52,]      0      0      0      0      0      0      0      0      0      0
##   [53,]     10      3      0      0      0      0      0      0      0      0
##   [54,]     21     14     10      1      0      0      0      0      0      0
##   [55,]     33     26     21     12      5      3      1      0      0      0
##   [56,]     45     37     32     23     17     14      9      6      2      0
##   [57,]     53     45     39     30     24     20     15     12      8      6
##   [58,]     64     56     50     40     35     28     23     19     15     12
##   [59,]     78     74     60     50     46     37     30     27     22     17
##   [60,]    100    108     80     59     57     44     38     34     29     24
##   [61,]    121    121    106     75     60     51     45     41     35     30
##   [62,]    121    121    120    118     81     58     53     48     42     36
##   [63,]    121    112    115    121    121     94     60     56     48     42
##   [64,]     69     86     95    109    121    109     82     60     54     48
##   [65,]     60     60     73     85     98     89     73     70     60     54
##   [66,]     52     56     59     66     82     73     66     64     65     61
##   [67,]     46     49     55     60     68     65     62     61     66     70
##   [68,]     42     46     51     57     60     62     61     61     70     79
##   [69,]     36     40     47     53     57     60     60     60     77     97
##   [70,]     30     35     42     49     53     57     60     60     86    118
##   [71,]     24     29     37     44     49     53     57     60     68    110
##   [72,]     19     24     32     40     45     50     54     58     60    107
##   [73,]     15     21     30     38     44     49     53     57     60    109
##   [74,]     14     21     30     38     44     49     54     58     60    117
##   [75,]     16     23     32     41     48     54     59     71    109    121
##   [76,]     20     26     35     46     53     60     71     86    121    121
##   [77,]     21     28     38     49     55     59     60     69     81     85
##   [78,]     22     29     41     54     60     60     60     60     61     60
##   [79,]     22     30     42     60     59     60     60     60     60     61
##   [80,]     18     26     36     47     53     55     55     57     60     60
##   [81,]     11     18     27     35     37     38     39     42     55     44
##   [82,]      2     11     17     21     23     23     22     21     24     26
##   [83,]      0      1      5      7      8      8      6      0      0      9
##         [,718] [,719] [,720] [,721] [,722] [,723] [,724] [,725] [,726] [,727]
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##    [3,]      0      0      0      0      0      0      0      0      0      0
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##    [5,]      0      0      0      0      0      0      0      0      0      0
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##   [13,]      0      0      0      0      0      0      0      0      0      0
##   [14,]      0      0      0      0      0      0      0      0      0      0
##   [15,]      0      0      0      0      0      0      0      0      0      0
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##   [17,]      0      0      0      0      0      0      0      0      0      0
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##   [19,]      0      0      0      0      0      0      0      0      0      0
##   [20,]      0      0      0      0      0      0      0      0      0      0
##   [21,]      0      0      0      0      0      0      0      0      0      0
##   [22,]      0      0      0      0      0      0      0      0      0      0
##   [23,]      0      0      0      0      0      0      0      0      0      0
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##   [25,]      0      0      0      0      0      0      0      0      0      0
##   [26,]      0      0      0      0      0      0      0      0      0      0
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##   [49,]      0      0      0      0      0      0      0      0      0      0
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##   [51,]      0      0      0      0      0      0      0      0      0      0
##   [52,]      0      0      0      0      0      0      0      0      0      0
##   [53,]      0      0      0      0      0      0      0      0      0      0
##   [54,]      0      0      0      0      0      0      0      0      0      0
##   [55,]      0      0      0      0      0      0      0      0      0      0
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##   [57,]      1      0      0      0      0      0      0      0      0      0
##   [58,]      8      4      2      1      0      0      0      0      0      5
##   [59,]     13     10      9      6      3      0      0      0      4     12
##   [60,]     19     16     15     12      9      7      6      8      9     16
##   [61,]     25     22     21     18     15     14     12     14     14     21
##   [62,]     31     28     26     24     22     20     19     19     19     24
##   [63,]     37     34     32     31     28     27     25     25     24     28
##   [64,]     43     39     38     37     35     33     31     31     29     31
##   [65,]     49     45     44     43     42     39     37     37     33     35
##   [66,]     55     51     48     47     46     44     41     41     36     37
##   [67,]     60     56     54     54     53     50     47     47     40     40
##   [68,]     71     60     60     60     60     54     52     53     43     44
##   [69,]     91     93     88     87     84     62     58     58     47     47
##   [70,]    115    121    113    113    121     74     60     55     50     50
##   [71,]    121    120    121    121    111     74     60     59     54     53
##   [72,]    121    121    121    121     99     76     60     60     58     56
##   [73,]    121    121    121    112     96     74     64     61     60     59
##   [74,]    120    121    121    106     93     74     63     60     60     13
##   [75,]    120    121    110     94     78     64     61     59     56     11
##   [76,]    107     99     91     73     60     62     61     56     52     10
##   [77,]     93     84     76     60     63     61     60     54     49      8
##   [78,]     67     69     66     65     62     61     60     50     45      7
##   [79,]     60     60     62     62     61     60     60     45     40      6
##   [80,]     58     60     60     61     61     61     60     39     35      4
##   [81,]     49     49     51     56     60     60     35     32     30      3
##   [82,]     32     36     38     42     49     49     28     26     25      2
##   [83,]     17     23     25     28     35     34     21     21     21      2
##         [,728] [,729] [,730] [,731] [,732] [,733] [,734] [,735] [,736] [,737]
##    [1,]      0      0      0      0      0      0      0      0      0      0
##    [2,]      0      0      0      0      0      0      0      0      0      0
##    [3,]      0      0      0      0      0      0      0      0      0      0
##    [4,]      0      0      0      0      0      0      0      0      0      0
##    [5,]      0      0      0      0      0      0      0      0      0      0
##    [6,]      0      0      0      0      0      0      0      0      0      0
##    [7,]      0      0      0      0      0      0      0      0      0      0
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##    [9,]      0      0      0      0      0      0      0      0      0      0
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##   [13,]      0      0      0      0      0      0      0      0      0      0
##   [14,]      0      0      0      0      0      0      0      0      0      0
##   [15,]      0      0      0      0      0      0      0      0      0      0
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##   [17,]      0      0      0      0      0      0      0      0      0      0
##   [18,]      0      0      0      0      0      0      0      0      0      0
##   [19,]      0      0      0      0      0      0      0      0      0      0
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##   [23,]      0      0      0      0      0      0      0      0      0      0
##   [24,]      0      0      0      0      0      0      0      0      0      0
##   [25,]      0      0      0      0      0      0      0      0      0      0
##   [26,]      0      0      0      0      0      0      0      0      0      0
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##   [45,]      0      0      0      0      0      0      0      0      0      0
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##   [48,]      0      0      0      0      0      0      0      0      0      0
##   [49,]      0      0      0      0      0      0      0      0      0      0
##   [50,]      0      0      0      0      0      0      0      0      0      0
##   [51,]      0      0      0      0      0      0      0      0      0      0
##   [52,]      0      0      0      0      0      0      0      0      0      0
##   [53,]      0      0      0      0      0      0      0      0      0      0
##   [54,]      0      0      0      0      0      0      0      0      0      0
##   [55,]      0      0      0      0      0      0      0      0      0      0
##   [56,]      2      1      0      0      0      0      0      0      0      0
##   [57,]      3      3      1      0      0      0      0      0      0      0
##   [58,]      6      4      1      0      0      0      0      0      0      0
##   [59,]     10      5      2      0      0      0      0      0      0      0
##   [60,]     11      5      2      0      0      0      0      0      0      0
##   [61,]     13      5      1      0      0      0      0      0      0      0
##   [62,]     14      5      1      0      0      0      0      0      0      0
##   [63,]     14      5      1      0      0      0      0      0      0      0
##   [64,]     15      5      0      0      0      0      0      0      0      0
##   [65,]     15      4      0      0      0      0      0      0      0      0
##   [66,]     15      4      0      0      0      0      0      0      0      0
##   [67,]     14      3      0      0      0      0      0      0      0      0
##   [68,]     14      3      0      0      0      0      0      0      0      0
##   [69,]     13      2      0      0      0      0      0      0      0      0
##   [70,]     11      2      0      0      0      0      0      0      0      0
##   [71,]     10      1      0      0      0      0      0      0      0      0
##   [72,]      8      1      0      0      0      0      0      0      0      0
##   [73,]      6      0      0      0      0      0      0      0      0      0
##   [74,]      3      0      0      0      0      0      0      0      0      0
##   [75,]      1      0      0      0      0      0      0      0      0      0
##   [76,]      1      0      0      0      0      0      0      0      0      0
##   [77,]      1      0      0      0      0      0      0      0      0      0
##   [78,]      0      0      0      0      0      0      0      0      0      0
##   [79,]      0      0      0      0      0      0      0      0      0      0
##   [80,]      0      0      0      0      0      0      0      0      0      0
##   [81,]      0      0      0      0      0      0      0      0      0      0
##   [82,]      0      0      0      0      0      0      0      0      0      0
##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,738] [,739] [,740] [,741] [,742] [,743] [,744] [,745] [,746] [,747]
##    [1,]      0      0      0      0      0      0      0      0      0      0
##    [2,]      0      0      0      0      0      0      0      0      0      0
##    [3,]      0      0      0      0      0      0      0      0      0      0
##    [4,]      0      0      0      0      0      0      0      0      0      0
##    [5,]      0      0      0      0      0      0      0      0      0      0
##    [6,]      0      0      0      0      0      0      0      0      0      0
##    [7,]      0      0      0      0      0      0      0      0      0      0
##    [8,]      0      0      0      0      0      0      0      0      0      0
##    [9,]      0      0      0      0      0      0      0      0      0      0
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##   [13,]      0      0      0      0      0      0      0      0      0      0
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##   [15,]      0      0      0      0      0      0      0      0      0      0
##   [16,]      0      0      0      0      0      0      0      0      0      0
##   [17,]      0      0      0      0      0      0      0      0      0      0
##   [18,]      0      0      0      0      0      0      0      0      0      0
##   [19,]      0      0      0      0      0      0      0      0      0      0
##   [20,]      0      0      0      0      0      0      0      0      0      0
##   [21,]      0      0      0      0      0      0      0      0      0      0
##   [22,]      0      0      0      0      0      0      0      0      0      0
##   [23,]      0      0      0      0      0      0      0      0      0      0
##   [24,]      0      0      0      0      0      0      0      0      0      0
##   [25,]      0      0      0      0      0      0      0      0      0      0
##   [26,]      0      0      0      0      0      0      0      0      0      0
##   [27,]      0      0      0      0      0      0      0      0      0      0
##   [28,]      0      0      0      0      0      0      0      0      0      0
##   [29,]      0      0      0      0      0      0      0      0      0      0
##   [30,]      0      0      0      0      0      0      0      0      0      0
##   [31,]      0      0      0      0      0      0      0      0      0      0
##   [32,]      0      0      0      0      0      0      0      0      0      0
##   [33,]      0      0      0      0      0      0      0      0      0      0
##   [34,]      0      0      0      0      0      0      0      0      0      0
##   [35,]      0      0      0      0      0      0      0      0      0      0
##   [36,]      0      0      0      0      0      0      0      0      0      0
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##   [43,]      0      0      0      0      0      0      0      0      0      0
##   [44,]      0      0      0      0      0      0      0      0      0      0
##   [45,]      0      0      0      0      0      0      0      0      0      0
##   [46,]      0      0      0      0      0      0      0      0      0      0
##   [47,]      0      0      0      0      0      0      0      0      0      0
##   [48,]      0      0      0      0      0      0      0      0      0      0
##   [49,]      0      0      0      0      0      0      0      0      0      0
##   [50,]      0      0      0      0      0      0      0      0      0      0
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##         [,758] [,759] [,760] [,761] [,762] [,763] [,764] [,765] [,766] [,767]
##    [1,]      0      0      1      1      3      6      9     13     17     20
##    [2,]      0      0      0      2      4      7     10     13     16     18
##    [3,]      0      0      0      1      4      7     10     13     15     17
##    [4,]      0      0      0      0      2      4      7     10     11     13
##    [5,]      0      0      0      0      0      1      3      6      7      9
##    [6,]      0      0      0      0      0      0      1      2      3      5
##    [7,]      0      0      0      0      0      0      0      0      1      3
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##   [82,]      0      0      0      0      0      0      0      0      0      0
##   [83,]      0      0      0      0      0      0      0      0      0      0
##         [,768] [,769] [,770] [,771] [,772] [,773] [,774] [,775] [,776] [,777]
##    [1,]     21     22     22     22     21     21     21     21     21     20
##    [2,]     20     20     20     20     20     20     21     22     22     22
##    [3,]     18     18     18     18     18     20     22     23     24     24
##    [4,]     15     15     15     16     17     20     22     23     24     24
##    [5,]     11     11     12     14     16     19     22     23     23     23
##    [6,]      8      8     10     12     15     18     21     22     23     23
##    [7,]      5      6      8     11     14     18     20     22     22     23
##    [8,]      2      3      6     10     13     18     20     21     22     23
##    [9,]      0      1      4      9     12     17     20     21     21     22
##   [10,]      0      0      3      9     12     17     19     20     21     22
##   [11,]      0      0      2      8     11     16     18     20     21     22
##   [12,]      0      0      0      8     11     15     18     19     21     22
##   [13,]      0      0      0      8     10     14     17     19     20     22
##   [14,]      0      0      5      8     10     14     16     18     20     21
##   [15,]      0      0      4      7      9     13     16     18     20     21
##   [16,]      0      0      4      6      8     12     15     17     19     21
##   [17,]      0      0      3      6      8     11     15     17     19     21
##   [18,]      0      0      3      5      7     11     14     17     19     21
##   [19,]      0      0      2      5      7     10     14     17     19     21
##   [20,]      0      0      2      4      7     10     14     17     19     22
##   [21,]      0      0      2      4      7     10     14     17     19     22
##   [22,]      0      0      2      4      8     12     14     17     19     22
##   [23,]      0      0      2      4      8     12     14     17     19     22
##   [24,]      0      0      2      4      8     12     15     17     20     22
##   [25,]      0      0      2      5      9     13     15     18     20     23
##   [26,]      0      0      2      5      9     13     15     18     20     23
##   [27,]      0      0      2      5      8     12     15     17     20     22
##   [28,]      0      0      2      4      8     11     14     16     19     21
##   [29,]      0      0      2      4      8     11     14     16     18     21
##   [30,]      0      0      2      4      8     11     13     16     18     20
##   [31,]      0      0      2      4      8     11     13     15     17     20
##   [32,]      0      0      2      4      8     11     12     15     17     19
##   [33,]      0      0      2      4      7     10     12     14     16     18
##   [34,]      0      0      2      4      7     10     12     14     16     18
##   [35,]      0      0      2      4      7     10     12     14     16     17
##   [36,]      0      0      2      5      8     10     12     14     16     17
##   [37,]      0      0      2      5      8     10     12     14     16     17
##   [38,]      0      0      2      5      8     10     12     14     16     17
##   [39,]      0      0      2      5      8     10     12     14     16     17
##   [40,]      0      0      2      5      8     10     12     14     16     17
##   [41,]      0      0      2      5      8     10     12     14     16     17
##   [42,]      0      0      2      5      8     10     12     14     16     17
##   [43,]      0      0      2      5      8     10     12     14     16     17
##   [44,]      0      0      2      5      8     10     12     14     16     18
##   [45,]      0      0      2      5      8     10     12     14     16     18
##   [46,]      0      0      2      5      8     10     12     14     16     18
##   [47,]      0      0      2      5      8     10     12     14     16     18
##   [48,]      0      0      2      5      8     10     12     14     16     18
##   [49,]      0      0      2      5      8     10     12     14     16     18
##   [50,]      0      0      2      5      8     10     12     14     16     18
##   [51,]      0      0      3      7      8     10     12     14     16     18
##   [52,]      0      0      3      7      8     10     12     14     16     18
##   [53,]      0      0      3      7      8     10     12     14     16     18
##   [54,]      0      0      3      7      8     10     12     14     16     18
##   [55,]      0      0      3      7      8     10     12     14     16     18
##   [56,]      0      0      3      7      8     10     12     14     16     18
##   [57,]      0      0      3      7      8     10     12     14     16     18
##   [58,]      0      0      3      7      8     10     12     14     16     19
##   [59,]      0      0      3      7      8     10     12     14     17     19
##   [60,]      0      0      3      7      8     10     12     14     17     19
##   [61,]      0      0      3      6      8     10     12     14     17     19
##   [62,]      0      0      3      6      8     10     12     14     17     19
##   [63,]      0      0      3      6      8     10     12     14     17     19
##   [64,]      0      0      3      6      8     10     12     14     17     19
##   [65,]      0      0      3      6      8     10     12     14     17     19
##   [66,]      0      1      4      6      8     10     12     14     17     19
##   [67,]      0      1      4      6      8     10     12     14     17     19
##   [68,]      0      1      4      6      8     10     12     14     17     19
##   [69,]      0      1      4      6      8     10     12     14     16     19
##   [70,]      0      1      4      6      8     10     12     14     16     19
##   [71,]      0      1      4      6      8     10     12     14     16     19
##   [72,]      0      1      4      6      8     10     12     14     16     19
##   [73,]      0      1      4      6      8     10     12     14     17     19
##   [74,]      0      1      4      6      8     10     12     14     17     18
##   [75,]      0      1      4      6      8     10     12     14     17     18
##   [76,]      0      1      4      6      8     10     12     14     17     18
##   [77,]      0      1      4      6      8     10     12     14     16     18
##   [78,]      0      1      4      6      8     10     12     14     16     17
##   [79,]      0      1      4      6      8     10     12     14     16     17
##   [80,]      0      2      4      6      8     10     11     13     16     17
##   [81,]      0      2      4      6      8     10     11     14     16     16
##   [82,]      0      2      4      6      8     10     11     13     15     16
##   [83,]      0      2      4      6      8     10     11     13     15     16
##         [,778] [,779] [,780] [,781] [,782] [,783] [,784] [,785] [,786] [,787]
##    [1,]     20     20     19     19     19     19     19     20     20     20
##    [2,]     22     22     22     22     23     24     25     25     25     26
##    [3,]     24     24     25     25     27     28     29     30     30     31
##    [4,]     24     24     25     26     28     30     31     32     32     32
##    [5,]     24     24     25     26     28     30     31     32     32     33
##    [6,]     24     24     25     26     29     31     32     32     33     34
##    [7,]     24     24     25     26     29     31     32     33     34     35
##    [8,]     24     24     25     27     30     32     33     34     35     36
##    [9,]     23     24     26     27     30     32     33     34     35     37
##   [10,]     23     24     26     28     31     33     34     35     37     39
##   [11,]     23     24     26     28     32     33     35     36     38     40
##   [12,]     23     24     26     28     32     34     35     37     39     41
##   [13,]     23     25     27     29     32     34     36     37     40     42
##   [14,]     23     25     27     30     33     35     36     38     41     43
##   [15,]     23     25     28     30     33     35     37     39     42     44
##   [16,]     23     26     29     31     34     35     38     39     42     45
##   [17,]     23     26     29     31     34     36     38     40     43     46
##   [18,]     23     26     30     32     35     36     39     41     44     48
##   [19,]     24     27     31     33     35     37     40     42     46     49
##   [20,]     24     28     32     34     36     39     41     44     47     51
##   [21,]     24     28     32     34     37     39     42     44     48     52
##   [22,]     24     28     32     34     37     39     42     45     48     52
##   [23,]     24     28     32     35     37     40     42     45     49     53
##   [24,]     25     29     33     35     38     41     43     48     52     54
##   [25,]     26     29     33     36     39     41     44     48     52     55
##   [26,]     25     29     33     36     38     41     43     47     51     54
##   [27,]     25     29     32     35     38     40     42     46     50     53
##   [28,]     24     28     31     33     36     39     41     44     48     50
##   [29,]     23     26     30     32     35     37     39     43     46     48
##   [30,]     23     26     29     31     33     36     38     41     44     47
##   [31,]     23     26     28     30     32     35     37     40     43     45
##   [32,]     22     25     27     29     31     33     35     38     41     43
##   [33,]     21     24     26     28     30     32     34     37     40     42
##   [34,]     21     23     25     27     29     31     33     36     39     41
##   [35,]     20     23     25     27     29     31     33     35     38     40
##   [36,]     20     23     25     27     29     31     32     35     38     40
##   [37,]     20     23     25     27     29     31     32     35     38     40
##   [38,]     20     23     25     27     29     31     33     36     38     40
##   [39,]     20     23     25     27     29     31     33     36     38     40
##   [40,]     20     23     25     27     29     31     33     36     38     39
##   [41,]     20     23     25     27     29     31     33     36     38     39
##   [42,]     20     23     25     27     29     31     33     36     38     39
##   [43,]     20     23     25     27     29     31     33     36     37     39
##   [44,]     21     23     25     27     29     30     33     35     37     38
##   [45,]     21     23     25     27     29     30     33     35     37     38
##   [46,]     21     23     25     27     28     30     33     35     36     37
##   [47,]     21     23     25     27     28     30     32     34     35     36
##   [48,]     21     23     25     27     28     30     32     34     35     36
##   [49,]     21     23     25     27     28     30     32     33     34     35
##   [50,]     21     23     25     27     28     29     31     33     34     35
##   [51,]     21     23     25     27     28     29     31     32     33     35
##   [52,]     21     23     25     27     28     29     31     32     33     35
##   [53,]     21     23     25     27     28     30     31     32     34     35
##   [54,]     21     23     25     27     28     30     31     32     34     35
##   [55,]     21     23     25     27     28     30     31     32     34     35
##   [56,]     21     23     25     27     28     30     31     32     34     35
##   [57,]     21     23     25     27     28     30     31     32     33     35
##   [58,]     21     23     25     27     28     29     31     32     33     35
##   [59,]     21     23     25     27     28     29     31     32     33     35
##   [60,]     21     23     25     26     28     29     31     32     33     34
##   [61,]     21     23     25     26     28     29     31     32     33     34
##   [62,]     21     23     24     26     27     29     31     32     33     34
##   [63,]     21     23     24     26     27     29     31     32     33     34
##   [64,]     21     23     24     26     27     29     30     32     32     33
##   [65,]     21     23     24     26     27     29     30     31     32     33
##   [66,]     21     23     24     26     27     28     30     31     32     33
##   [67,]     21     22     24     25     27     28     30     30     31     32
##   [68,]     21     22     24     25     27     28     29     30     31     32
##   [69,]     21     22     24     25     26     28     29     30     31     32
##   [70,]     21     22     23     25     26     27     28     29     30     31
##   [71,]     21     22     23     24     26     27     28     29     30     31
##   [72,]     20     22     23     24     25     26     27     28     29     30
##   [73,]     20     21     22     23     25     26     27     28     28     29
##   [74,]     20     21     22     23     24     26     26     27     28     29
##   [75,]     20     21     22     22     24     25     26     26     27     28
##   [76,]     19     20     21     22     23     24     25     26     26     27
##   [77,]     19     20     21     21     22     24     24     25     26     26
##   [78,]     19     19     20     21     22     23     24     24     25     26
##   [79,]     18     19     20     20     21     22     23     24     24     25
##   [80,]     18     18     19     20     21     22     22     23     24     24
##   [81,]     17     18     18     19     20     21     21     22     23     24
##   [82,]     17     17     18     18     19     20     21     21     22     23
##   [83,]     16     17     17     18     19     19     20     21     21     22
##         [,788] [,789] [,790] [,791] [,792] [,793] [,794] [,795] [,796] [,797]
##    [1,]     21     22     22     22     22     22     22     22     22     22
##    [2,]     27     28     29     30     30     30     30     30     30     30
##    [3,]     32     34     35     36     36     36     36     36     36     36
##    [4,]     35     37     38     39     39     39     39     39     39     39
##    [5,]     36     38     39     39     39     40     40     40     40     40
##    [6,]     37     39     40     40     41     41     41     41     41     41
##    [7,]     38     40     41     42     42     43     43     43     43     43
##    [8,]     39     41     42     43     44     44     44     44     44     44
##    [9,]     41     42     43     45     45     46     46     46     46     46
##   [10,]     42     44     45     46     47     47     47     47     47     47
##   [11,]     43     45     46     47     48     49     49     49     49     49
##   [12,]     44     46     47     49     50     50     50     50     50     50
##   [13,]     45     47     49     50     51     52     51     51     51     51
##   [14,]     46     48     50     51     53     53     52     52     52     52
##   [15,]     47     49     51     53     54     54     54     54     54     54
##   [16,]     48     50     52     54     55     56     55     55     55     55
##   [17,]     49     51     54     55     57     57     56     57     57     57
##   [18,]     50     53     55     57     59     58     58     58     58     58
##   [19,]     52     54     57     59     60     60     59     60     59     59
##   [20,]     54     57     60     60     60     60     60     60     60     60
##   [21,]     55     57     59     60     60     60     60     60     60     60
##   [22,]     55     57     59     60     60     60     60     60     60     60
##   [23,]     56     58     60     62     62     60     60     60     60     60
##   [24,]     58     60     64     68     71     61     60     60     60     60
##   [25,]     59     60     62     66     63     61     60     60     60     60
##   [26,]     56     58     60     61     61     60     60     60     60     60
##   [27,]     55     57     58     59     60     60     60     60     60     60
##   [28,]     53     55     57     58     60     60     60     60     60     60
##   [29,]     50     53     55     57     60     60     60     60     60     60
##   [30,]     49     51     53     55     57     60     60     60     60     60
##   [31,]     47     49     51     53     55     58     59     60     60     60
##   [32,]     45     47     49     52     54     56     58     58     59     60
##   [33,]     44     46     47     50     53     55     56     58     59     60
##   [34,]     43     45     46     49     52     53     55     56     58     59
##   [35,]     42     44     46     48     51     53     54     56     57     58
##   [36,]     42     44     46     48     51     52     54     55     56     57
##   [37,]     42     43     45     48     50     52     53     54     55     56
##   [38,]     42     43     45     47     49     51     52     53     54     55
##   [39,]     41     43     45     47     49     50     51     53     53     54
##   [40,]     41     43     44     46     48     49     50     51     53     54
##   [41,]     41     42     44     46     47     49     49     50     51     53
##   [42,]     41     42     43     45     46     47     49     49     50     52
##   [43,]     40     41     42     44     46     46     47     48     49     51
##   [44,]     39     41     42     43     45     46     46     47     48     49
##   [45,]     39     40     41     42     44     44     45     46     47     48
##   [46,]     38     39     40     42     42     43     44     45     46     48
##   [47,]     37     38     40     41     42     43     44     45     46     47
##   [48,]     37     37     39     40     41     42     43     44     45     46
##   [49,]     36     37     38     40     41     42     43     44     45     46
##   [50,]     36     37     38     40     41     42     43     44     45     46
##   [51,]     36     37     38     40     41     42     43     44     45     47
##   [52,]     36     37     38     40     41     42     43     44     45     47
##   [53,]     36     37     39     40     42     42     44     45     46     48
##   [54,]     36     37     39     40     42     43     44     45     47     48
##   [55,]     36     37     39     40     42     43     44     45     46     48
##   [56,]     36     37     39     40     42     42     44     45     46     48
##   [57,]     36     37     39     40     41     42     43     44     46     48
##   [58,]     36     37     39     40     41     42     43     44     46     47
##   [59,]     35     37     38     40     41     42     43     44     45     46
##   [60,]     35     37     39     40     41     42     42     43     44     46
##   [61,]     35     37     38     40     40     41     42     42     43     45
##   [62,]     35     37     38     39     40     41     41     42     43     44
##   [63,]     35     36     38     39     40     40     41     41     42     44
##   [64,]     35     36     37     39     39     40     40     41     42     43
##   [65,]     34     36     37     38     39     39     40     41     42     43
##   [66,]     34     35     36     37     38     39     40     40     42     42
##   [67,]     33     35     36     37     38     39     39     40     41     42
##   [68,]     33     34     35     36     37     38     39     40     41     42
##   [69,]     32     34     35     36     37     37     38     39     40     41
##   [70,]     32     33     34     35     36     37     37     39     40     40
##   [71,]     32     33     34     35     35     36     37     38     39     40
##   [72,]     31     32     33     34     34     35     36     37     39     39
##   [73,]     30     31     32     33     34     35     35     37     38     39
##   [74,]     30     31     32     32     33     34     35     36     37     38
##   [75,]     29     30     31     31     32     33     34     35     37     38
##   [76,]     28     29     30     31     31     32     33     34     36     37
##   [77,]     28     28     29     30     30     31     32     34     35     36
##   [78,]     27     28     28     29     30     31     32     33     35     35
##   [79,]     26     27     28     28     29     30     31     32     34     35
##   [80,]     25     26     27     27     28     29     30     31     33     34
##   [81,]     24     25     26     26     27     28     29     30     32     33
##   [82,]     24     24     25     25     26     27     29     30     31     32
##   [83,]     23     24     24     25     25     26     28     29     30     31
##         [,798] [,799] [,800] [,801] [,802] [,803] [,804] [,805] [,806] [,807]
##    [1,]     22     23     24     24     24     25     25     25     25     26
##    [2,]     30     31     32     33     33     34     34     34     34     35
##    [3,]     36     38     39     40     40     41     41     41     41     42
##    [4,]     39     41     43     44     44     45     45     45     45     45
##    [5,]     41     43     45     45     46     46     46     46     46     46
##    [6,]     42     44     46     46     46     46     46     46     47     47
##    [7,]     44     46     47     47     47     47     47     47     48     48
##    [8,]     45     47     48     48     48     48     48     48     48     49
##    [9,]     46     48     49     49     49     49     49     49     49     50
##   [10,]     47     49     50     50     50     50     50     50     50     51
##   [11,]     49     50     51     51     51     51     51     51     51     52
##   [12,]     50     52     52     52     52     52     52     52     53     53
##   [13,]     51     53     53     53     53     53     53     53     54     54
##   [14,]     52     53     53     54     54     54     54     54     54     55
##   [15,]     54     54     54     55     55     55     55     55     55     56
##   [16,]     55     55     56     56     56     56     56     56     57     57
##   [17,]     57     57     57     57     57     57     57     58     58     58
##   [18,]     58     58     58     58     58     58     58     58     58     59
##   [19,]     59     59     59     59     59     59     59     59     59     59
##   [20,]     60     60     60     60     59     59     59     59     59     60
##   [21,]     60     60     60     60     60     60     60     60     60     60
##   [22,]     60     60     60     60     60     60     60     60     60     60
##   [23,]     60     60     60     60     60     60     60     60     60     60
##   [24,]     60     60     60     60     60     60     60     60     60     60
##   [25,]     60     60     60     60     60     60     60     60     60     60
##   [26,]     60     60     60     60     60     60     60     60     60     60
##   [27,]     60     60     60     60     60     60     60     60     60     60
##   [28,]     60     60     60     60     60     60     60     60     60     60
##   [29,]     60     60     60     60     60     60     60     60     60     60
##   [30,]     60     60     60     60     60     60     60     60     60     60
##   [31,]     60     60     60     60     60     60     60     60     60     60
##   [32,]     60     60     60     60     60     60     60     60     60     60
##   [33,]     60     60     60     60     60     60     60     60     60     60
##   [34,]     60     60     60     60     60     60     60     60     60     60
##   [35,]     59     59     60     60     60     60     60     60     60     60
##   [36,]     58     59     59     60     60     60     60     60     60     60
##   [37,]     57     58     59     60     60     60     60     60     60     60
##   [38,]     56     57     58     59     59     59     60     60     60     60
##   [39,]     55     56     57     58     58     59     59     60     60     59
##   [40,]     55     56     56     57     57     58     59     59     59     59
##   [41,]     54     55     55     56     56     57     58     58     58     58
##   [42,]     53     53     54     55     56     56     57     58     58     58
##   [43,]     52     53     53     54     55     55     56     57     57     58
##   [44,]     51     52     53     53     54     54     56     56     57     57
##   [45,]     50     51     52     53     53     54     55     56     56     57
##   [46,]     49     50     51     52     52     53     55     56     56     57
##   [47,]     48     49     50     51     52     53     54     55     56     56
##   [48,]     48     49     49     50     51     53     54     55     56     57
##   [49,]     47     49     49     51     52     53     55     56     57     58
##   [50,]     48     49     50     51     52     54     56     57     58     60
##   [51,]     48     49     50     52     53     54     56     57     59     60
##   [52,]     49     50     51     52     53     55     57     58     60     60
##   [53,]     49     50     51     53     53     55     57     59     60     60
##   [54,]     49     50     51     53     54     55     57     58     59     60
##   [55,]     49     50     51     52     53     55     56     57     58     59
##   [56,]     49     50     51     52     53     54     56     56     57     58
##   [57,]     48     49     50     51     52     53     55     56     56     57
##   [58,]     48     49     49     50     51     53     54     54     55     56
##   [59,]     47     48     49     49     50     51     53     53     54     55
##   [60,]     46     47     48     49     49     50     52     52     53     54
##   [61,]     45     46     47     48     48     50     51     51     52     53
##   [62,]     45     46     46     47     48     49     50     51     52     52
##   [63,]     44     45     46     46     48     49     49     50     51     52
##   [64,]     44     45     45     46     47     48     49     50     51     51
##   [65,]     44     44     45     46     47     48     49     50     51     51
##   [66,]     43     44     45     46     47     48     49     49     50     51
##   [67,]     43     44     44     45     46     47     48     49     50     51
##   [68,]     42     43     44     45     46     47     48     48     49     50
##   [69,]     42     42     43     44     45     46     47     48     49     49
##   [70,]     41     42     43     44     45     46     47     48     48     49
##   [71,]     41     42     42     43     44     45     46     47     48     49
##   [72,]     40     41     42     43     44     45     46     47     48     49
##   [73,]     40     41     42     42     44     45     46     47     48     49
##   [74,]     39     40     41     42     43     44     45     46     47     48
##   [75,]     39     39     40     41     42     44     45     46     46     47
##   [76,]     38     39     39     41     42     43     44     45     46     47
##   [77,]     37     38     39     40     41     42     43     44     45     46
##   [78,]     36     37     38     40     41     42     43     44     45     46
##   [79,]     35     36     37     39     40     41     42     43     44     45
##   [80,]     35     35     36     38     39     40     41     42     43     44
##   [81,]     34     35     35     37     38     39     40     41     42     43
##   [82,]     33     34     35     36     37     38     39     40     41     42
##   [83,]     32     33     34     35     37     38     39     40     41     42
##         [,808] [,809] [,810] [,811] [,812] [,813] [,814] [,815] [,816] [,817]
##    [1,]     27     28     29     30     31     32     32     33     33     34
##    [2,]     36     37     38     39     39     40     40     41     41     42
##    [3,]     43     44     45     46     46     46     47     47     47     48
##    [4,]     47     48     49     50     50     49     50     50     50     51
##    [5,]     49     50     50     51     51     50     51     51     51     51
##    [6,]     49     51     51     51     51     50     51     52     52     52
##    [7,]     50     51     52     52     52     51     52     53     53     53
##    [8,]     51     52     52     52     52     52     53     53     54     54
##    [9,]     52     52     53     53     53     53     54     54     54     55
##   [10,]     52     53     53     53     54     54     55     55     55     56
##   [11,]     53     53     53     54     54     54     55     56     56     56
##   [12,]     53     53     54     54     55     55     56     56     57     57
##   [13,]     54     54     55     55     56     56     57     57     58     58
##   [14,]     55     55     56     56     56     57     58     58     58     59
##   [15,]     56     56     57     57     58     58     59     59     59     60
##   [16,]     57     58     58     58     59     60     60     60     60     60
##   [17,]     58     58     59     59     60     60     60     60     60     60
##   [18,]     59     59     59     60     60     60     60     60     60     60
##   [19,]     59     59     59     60     60     60     60     60     60     60
##   [20,]     60     60     60     60     60     60     60     60     60     60
##   [21,]     60     60     60     60     60     60     60     60     60     60
##   [22,]     60     60     60     60     60     60     60     60     60     60
##   [23,]     60     60     60     60     60     60     60     60     60     60
##   [24,]     60     60     60     60     60     60     60     60     60     60
##   [25,]     60     60     60     60     60     60     60     60     60     60
##   [26,]     60     60     60     60     60     60     60     60     60     60
##   [27,]     60     60     60     60     60     60     60     60     60     60
##   [28,]     60     60     60     60     60     60     60     60     60     60
##   [29,]     60     60     60     60     60     60     60     60     60     60
##   [30,]     60     60     60     60     60     60     60     60     60     60
##   [31,]     60     60     60     60     60     60     60     60     60     60
##   [32,]     60     60     60     60     60     60     60     60     60     60
##   [33,]     60     60     60     60     60     60     60     60     60     60
##   [34,]     60     60     60     60     60     60     60     60     60     60
##   [35,]     60     60     60     60     60     60     60     60     60     60
##   [36,]     60     60     60     60     60     60     60     60     60     60
##   [37,]     60     60     60     60     60     60     60     60     60     60
##   [38,]     60     60     60     60     60     60     60     60     60     60
##   [39,]     59     59     60     60     60     60     60     60     60     60
##   [40,]     59     59     59     60     60     60     60     60     60     60
##   [41,]     59     59     59     59     60     60     60     60     60     60
##   [42,]     58     59     59     60     60     60     60     60     60     60
##   [43,]     58     58     59     59     60     60     60     60     60     60
##   [44,]     58     58     59     59     60     60     60     60     60     60
##   [45,]     57     58     59     59     60     60     60     60     60     60
##   [46,]     57     58     59     59     60     60     60     60     60     60
##   [47,]     57     58     59     60     60     60     60     60     60     60
##   [48,]     58     59     60     63     64     64     65     67     72     68
##   [49,]     59     60     64     69     73     76     79     83     85     83
##   [50,]     61     62     70     78     84     89     94     97     98     98
##   [51,]     63     67     78     88     96    103    110    111    113    113
##   [52,]     65     72     85     98    108    117    120    121    121    121
##   [53,]     68     75     88    103    121    120    121    121    121    121
##   [54,]     63     71     86     98    107    121    121    121    121    121
##   [55,]     60     65     78     83     89     88    102    113    121    121
##   [56,]     59     60     64     66     66     60     76     84    109    121
##   [57,]     58     59     60     60     60     61     60     60     68    100
##   [58,]     57     58     59     59     59     59     60     60     60     60
##   [59,]     56     57     58     58     58     59     59     59     60     60
##   [60,]     55     56     57     57     58     58     59     59     60     60
##   [61,]     54     55     56     57     57     58     59     59     60     60
##   [62,]     53     54     55     56     57     58     59     59     60     60
##   [63,]     52     54     55     56     56     57     58     59     60     60
##   [64,]     52     53     55     56     56     57     58     59     60     60
##   [65,]     52     53     55     56     56     57     58     60     60     60
##   [66,]     52     53     54     55     56     57     58     59     60     60
##   [67,]     51     53     54     55     56     56     57     58     60     60
##   [68,]     51     52     53     54     55     56     57     58     59     60
##   [69,]     51     52     53     54     54     55     56     58     59     60
##   [70,]     50     51     52     53     54     55     56     57     58     59
##   [71,]     50     51     52     53     54     55     56     57     58     59
##   [72,]     50     51     52     53     54     55     56     57     59     60
##   [73,]     50     51     52     53     54     55     56     58     60     60
##   [74,]     49     51     52     53     54     55     56     57     59     60
##   [75,]     49     50     51     52     53     54     55     57     58     59
##   [76,]     48     50     51     52     53     53     55     56     58     58
##   [77,]     48     49     50     51     52     53     54     56     57     58
##   [78,]     47     48     49     50     51     52     53     55     56     57
##   [79,]     46     47     48     49     50     51     53     54     55     56
##   [80,]     45     46     47     48     49     50     52     53     54     55
##   [81,]     44     46     47     48     49     50     51     53     54     55
##   [82,]     44     45     46     47     48     49     51     52     53     54
##   [83,]     43     45     46     47     48     49     50     52     53     54
##         [,818] [,819] [,820] [,821] [,822] [,823] [,824] [,825] [,826] [,827]
##    [1,]     35     36     37     38     39     40     42     45     49     52
##    [2,]     42     43     43     44     45     46     48     50     52     55
##    [3,]     48     48     48     48     49     50     52     54     56     58
##    [4,]     51     51     50     50     51     51     53     55     57     59
##    [5,]     52     52     51     52     52     52     55     56     57     60
##    [6,]     52     53     52     53     53     53     56     57     58     60
##    [7,]     53     53     53     54     54     54     56     57     58     60
##    [8,]     54     54     54     55     55     55     57     58     58     60
##    [9,]     55     55     56     56     56     57     57     58     59     60
##   [10,]     56     56     57     58     57     58     58     59     60     60
##   [11,]     57     58     59     59     59     59     59     60     60     60
##   [12,]     58     59     60     60     60     60     60     60     60     60
##   [13,]     59     60     60     60     60     60     60     60     60     60
##   [14,]     59     60     60     60     60     60     60     60     60     60
##   [15,]     60     60     60     60     60     60     60     60     60     60
##   [16,]     60     60     60     60     60     60     60     60     60     60
##   [17,]     60     60     60     60     60     60     60     60     60     60
##   [18,]     60     60     60     60     60     60     60     60     60     60
##   [19,]     60     60     60     60     60     60     60     60     60     60
##   [20,]     60     60     60     60     60     60     60     60     60     60
##   [21,]     60     60     60     60     60     60     60     60     60     60
##   [22,]     60     60     60     60     60     60     60     60     60     60
##   [23,]     60     60     60     60     60     60     60     60     60     60
##   [24,]     60     60     60     60     60     60     60     60     60     60
##   [25,]     60     60     60     60     60     60     60     60     60     60
##   [26,]     60     60     60     60     60     60     60     60     60     60
##   [27,]     60     60     60     60     60     60     60     60     60     60
##   [28,]     60     60     60     60     60     60     60     60     60     60
##   [29,]     60     60     60     60     60     60     60     60     60     60
##   [30,]     60     60     60     60     60     60     60     60     60     60
##   [31,]     60     60     60     60     60     60     60     60     60     60
##   [32,]     60     60     60     60     60     60     60     60     60     60
##   [33,]     60     60     60     60     60     60     60     60     60     60
##   [34,]     60     60     60     60     60     60     60     60     60     60
##   [35,]     60     60     60     60     60     60     60     60     60     60
##   [36,]     60     60     60     60     60     60     60     60     60     60
##   [37,]     60     60     60     60     60     60     60     60     60     60
##   [38,]     60     60     60     60     60     60     60     60     60     60
##   [39,]     60     60     60     60     60     60     60     60     60     60
##   [40,]     60     60     60     60     60     60     60     60     60     60
##   [41,]     60     60     60     60     60     60     60     60     60     60
##   [42,]     60     60     60     60     60     60     60     60     60     60
##   [43,]     60     60     60     60     60     60     60     60     60     60
##   [44,]     60     60     60     60     60     60     60     60     60     60
##   [45,]     60     60     60     60     60     60     60     60     60     60
##   [46,]     60     60     60     60     60     60     60     60     60     60
##   [47,]     60     60     60     60     60     60     60     64     60     71
##   [48,]     63     60     66     69     69     68     78     78     84     88
##   [49,]     78     80     81     88     86     88     93     96    101    108
##   [50,]     95     97    102    105    104    105    108    112    117    129
##   [51,]    113    114    121    121    121    121    118    121    157    158
##   [52,]    120    121    120    121    121    140    121    182    182    182
##   [53,]    121    121    121    121    121    148    175    175    180    182
##   [54,]    121    121    121    121    121    144    162    171    182    182
##   [55,]    121    121    121    121    121    136    151    160    169    178
##   [56,]    121    121    121    121    121    126    138    147    156    164
##   [57,]    101    110    121    121    118    119    126    134    143    149
##   [58,]     60     60     93    121    113    107    114    121    130    135
##   [59,]     60     60     60     76     88     92    101    111    120    123
##   [60,]     60     60     60     60     60     77     89    103    121    115
##   [61,]     60     60     60     60     60     60     68     83     89    101
##   [62,]     60     60     60     60     60     60     60     60     71     81
##   [63,]     60     60     60     60     60     60     60     60     60     71
##   [64,]     60     60     60     60     61     61     60     60     60     60
##   [65,]     60     60     60     60     63     64     63     60     60     60
##   [66,]     60     60     60     60     64     67     68     66     63     60
##   [67,]     60     60     60     60     67     72     74     74     73     73
##   [68,]     60     60     60     60     69     77     81     84     86     89
##   [69,]     60     60     60     60     73     83     89     95    101    106
##   [70,]     60     60     60     70     77     88     95    103    111    118
##   [71,]     60     60     60     73     85     92    100    109    121    120
##   [72,]     60     60     60     72     83     91     99    107    114    121
##   [73,]     60     60     60     70     81     89     96    104    111    117
##   [74,]     60     60     60     69     80     87     95    102    109    115
##   [75,]     60     60     60     66     78     85     92     99    107    114
##   [76,]     59     60     60     67     76     83     90     97    105    112
##   [77,]     59     60     60     65     75     82     90     98    106    114
##   [78,]     58     59     60     62     72     80     89     97    106    117
##   [79,]     57     58     59     60     68     78     88     98    108    120
##   [80,]     56     57     58     60     60     74     86     96    108    121
##   [81,]     56     57     58     60     60     70     81     91    101    114
##   [82,]     55     56     57     59     60     67     75     84     93    108
##   [83,]     55     56     57     59     60     63     69     77     87    101
##         [,828] [,829] [,830] [,831] [,832] [,833] [,834] [,835] [,836] [,837]
##    [1,]     56     58     60     61     62     63     66     68     70     72
##    [2,]     58     60     62     63     63     65     68     72     75     77
##    [3,]     60     62     64     65     64     66     70     74     77     79
##    [4,]     61     62     64     65     64     65     68     72     75     77
##    [5,]     61     62     64     64     63     63     65     68     71     73
##    [6,]     61     61     63     62     62     62     63     64     66     67
##    [7,]     61     61     61     61     61     61     61     61     62     63
##    [8,]     61     60     60     60     61     61     60     60     60     61
##    [9,]     60     60     60     60     60     60     60     60     60     60
##   [10,]     60     60     60     60     60     60     60     60     60     60
##   [11,]     60     60     60     60     60     60     60     60     60     60
##   [12,]     60     60     60     60     60     60     60     60     60     60
##   [13,]     60     60     60     60     60     60     60     60     60     60
##   [14,]     60     60     60     60     60     60     60     60     60     60
##   [15,]     60     60     60     60     60     60     60     60     60     60
##   [16,]     60     60     60     60     60     60     60     60     60     60
##   [17,]     60     60     60     60     60     60     60     60     60     61
##   [18,]     60     60     60     60     60     60     60     60     60     61
##   [19,]     60     60     60     60     60     60     60     60     61     61
##   [20,]     60     60     60     60     60     60     60     60     61     62
##   [21,]     60     60     60     60     60     60     60     60     61     62
##   [22,]     60     60     60     60     60     60     60     60     61     63
##   [23,]     60     60     60     60     60     60     60     60     61     64
##   [24,]     60     60     60     60     60     60     60     60     61     64
##   [25,]     60     60     60     60     60     60     60     60     62     64
##   [26,]     60     60     60     60     60     60     60     60     62     64
##   [27,]     60     60     60     60     60     60     60     60     61     63
##   [28,]     60     60     60     60     60     60     60     60     60     60
##   [29,]     60     60     60     60     60     60     60     60     60     60
##   [30,]     60     60     60     60     60     60     60     60     60     60
##   [31,]     60     60     60     60     60     60     60     60     60     60
##   [32,]     60     60     60     60     60     60     60     60     60     60
##   [33,]     60     60     60     60     60     60     60     60     60     60
##   [34,]     60     60     60     60     60     60     60     60     60     60
##   [35,]     60     60     60     60     60     60     60     60     60     60
##   [36,]     60     60     60     60     60     60     60     60     60     60
##   [37,]     60     60     60     60     60     60     60     60     60     60
##   [38,]     60     60     60     60     60     60     60     60     60     60
##   [39,]     60     60     60     60     60     60     60     60     60     60
##   [40,]     60     60     60     60     60     60     60     60     60     60
##   [41,]     60     60     60     60     60     60     60     60     60     60
##   [42,]     60     60     60     60     60     60     60     60     60     60
##   [43,]     60     60     60     60     60     60     60     60     60     60
##   [44,]     60     60     60     60     60     60     60     60     60     60
##   [45,]     60     60     61     60     60     60     60     60     60     60
##   [46,]     60     66     64     62     60     60     60     60     60     61
##   [47,]     77     78     72     65     60     60     60     60     60     64
##   [48,]     94     90     82     73     67     60     60     60     60     69
##   [49,]    110    107     95     85     78     71     60     60     60     77
##   [50,]    131    127    111     99     94     88     82     73     78     88
##   [51,]    161    147    121    112    110    107     99     90     93     98
##   [52,]    182    172    138    121    121    121    110    101    101    104
##   [53,]    182    182    163    156    147    135    126    116    115    112
##   [54,]    182    182    182    182    169    154    142    134    123    119
##   [55,]    182    182    182    182    182    169    157    147    133    121
##   [56,]    167    176    182    182    182    182    172    162    151    152
##   [57,]    151    163    176    182    182    182    182    177    173    176
##   [58,]    133    151    167    175    182    182    182    182    182    182
##   [59,]    121    139    158    169    181    182    182    182    182    182
##   [60,]    119    128    147    160    171    182    182    182    182    182
##   [61,]    109    121    135    146    159    168    175    182    182    182
##   [62,]     92    110    121    131    148    160    170    181    182    182
##   [63,]     83    105    120    121    142    157    170    182    182    182
##   [64,]     73    109    121    131    140    153    168    182    182    182
##   [65,]     60     89    121    127    139    152    166    182    182    157
##   [66,]     60     60     75    112    127    141    158    178    170    147
##   [67,]     71     60     89     96    111    121    142    153    150    133
##   [68,]     93     91     95    104    113    119    126    133    130    121
##   [69,]    117    110    111    114    117    119    120    122    121    123
##   [70,]    120    121    120    119    120    121    121    121    121    121
##   [71,]    121    122    121    121    121    121    121    121    121    121
##   [72,]    121    122    124    124    121    121    121    121    121    121
##   [73,]    121    124    126    128    128    130    127    121    121    121
##   [74,]    121    125    128    131    135    138    140    140    133    121
##   [75,]    121    126    131    136    142    148    156    164    169    149
##   [76,]    120    129    135    142    149    157    170    182    179    182
##   [77,]    121    128    135    143    151    160    174    181    182    182
##   [78,]    120    121    131    140    149    157    170    182    182    182
##   [79,]    121    121    124    135    145    155    169    181    182    182
##   [80,]    121    121    121    133    143    153    168    182    182    182
##   [81,]    121    121    130    136    144    152    166    179    182    182
##   [82,]    121    121    129    137    144    151    162    172    177    182
##   [83,]    114    121    128    135    142    149    159    168    174    178
##         [,838] [,839] [,840] [,841] [,842] [,843] [,844] [,845] [,846] [,847]
##    [1,]     72     72     70     67     64     61     57     54     52     50
##    [2,]     77     76     74     71     68     65     62     59     57     55
##    [3,]     79     78     76     73     70     67     64     62     61     59
##    [4,]     78     76     74     71     69     66     64     62     61     60
##    [5,]     73     72     70     67     65     63     62     61     60     60
##    [6,]     68     67     65     63     62     61     60     60     60     60
##    [7,]     63     63     62     61     60     60     60     60     60     60
##    [8,]     61     61     60     60     60     60     60     60     60     60
##    [9,]     60     60     60     60     60     60     60     60     60     60
##   [10,]     60     60     60     60     60     60     60     60     60     60
##   [11,]     60     60     60     60     60     60     60     60     60     60
##   [12,]     60     60     60     60     60     60     60     60     60     60
##   [13,]     60     60     60     60     60     60     60     60     60     60
##   [14,]     60     61     60     60     60     60     60     60     60     60
##   [15,]     61     61     62     61     61     61     61     61     60     60
##   [16,]     61     62     62     62     62     62     62     61     60     60
##   [17,]     62     63     63     63     63     63     64     63     60     60
##   [18,]     62     64     65     65     65     66     67     67     69     70
##   [19,]     64     66     66     67     67     68     70     72     74     79
##   [20,]     64     67     68     69     71     73     75     78     83     88
##   [21,]     65     68     71     73     76     78     81     85     91     96
##   [22,]     66     70     74     77     81     84     87     92     97    101
##   [23,]     68     71     75     78     82     85     88     93     98    101
##   [24,]     69     73     75     78     81     84     87     91     95     98
##   [25,]     69     72     75     77     80     82     84     88     91     93
##   [26,]     67     70     72     74     76     78     80     83     84     86
##   [27,]     65     67     68     70     71     72     74     73     73     74
##   [28,]     61     62     63     63     64     64     65     60     60     60
##   [29,]     60     60     61     61     61     60     61     61     60     60
##   [30,]     60     60     60     60     60     60     60     60     60     60
##   [31,]     60     60     60     60     60     60     60     60     60     60
##   [32,]     60     60     60     60     60     60     60     60     60     60
##   [33,]     60     60     60     60     60     60     60     60     60     60
##   [34,]     60     60     60     60     60     60     60     60     60     60
##   [35,]     60     60     60     60     60     60     60     60     60     60
##   [36,]     60     60     60     60     60     60     60     60     60     60
##   [37,]     60     60     60     60     60     60     60     60     60     60
##   [38,]     60     60     60     60     60     60     60     60     60     60
##   [39,]     60     60     60     60     60     60     60     60     60     60
##   [40,]     60     60     60     60     60     60     60     60     60     60
##   [41,]     60     60     60     60     60     60     60     60     60     60
##   [42,]     60     60     60     60     60     60     60     60     60     60
##   [43,]     60     60     60     60     60     60     60     60     60     60
##   [44,]     60     60     60     60     60     60     60     60     60     60
##   [45,]     60     60     60     60     60     60     60     60     60     60
##   [46,]     60     60     60     60     60     61     60     60     60     60
##   [47,]     63     60     60     63     60     69     65     60     60     60
##   [48,]     70     68     68     70     75     80     77     72     70     70
##   [49,]     79     78     82     83     86     90     90     88     91     89
##   [50,]     86     85     89     90     93     98     99     99    102    102
##   [51,]     96     96     99    101    104    109    113    117    117    118
##   [52,]    106    108    110    112    115    120    121    138    137    142
##   [53,]    113    115    118    119    124    137    153    170    160    163
##   [54,]    119    121    134    136    147    167    182    176    182    182
##   [55,]    131    146    156    158    166    179    181    186    190    191
##   [56,]    153    168    182    182    176    178    182    192    200    206
##   [57,]    174    182    180    181    182    181    188    199    211    224
##   [58,]    182    181    182    182    182    182    196    208    220    243
##   [59,]    182    182    182    182    182    182    191    202    211    223
##   [60,]    182    182    182    182    182    182    182    192    195    207
##   [61,]    182    182    182    182    182    173    178    182    182    195
##   [62,]    182    177    173    166    159    157    163    171    179    182
##   [63,]    171    162    152    146    139    141    148    163    176    180
##   [64,]    158    142    130    127    124    126    135    159    178    180
##   [65,]    142    121    125    122    121    122    121    157    182    181
##   [66,]    121    123    122    122    131    142    170    167    182    185
##   [67,]    121    121    121    134    162    182    175    182    184    190
##   [68,]    124    121    125    150    182    180    182    183    188    196
##   [69,]    121    121    135    153    182    182    182    186    192    200
##   [70,]    121    121    130    145    164    177    182    185    191    200
##   [71,]    121    121    121    130    153    163    173    182    182    188
##   [72,]    121    121    121    126    145    155    164    171    178    182
##   [73,]    121    121    121    121    133    142    152    160    168    178
##   [74,]    121    121    121    121    121    130    138    148    157    170
##   [75,]    134    121    121    121    121    121    126    137    146    158
##   [76,]    182    150    121    121    121    121    121    127    135    146
##   [77,]    182    182    167    129    121    121    121    121    125    134
##   [78,]    182    182    182    167    121    121    121    121    121    121
##   [79,]    182    182    183    183    171    162    139    131    121    121
##   [80,]    182    182    183    184    185    184    182    182    157    143
##   [81,]    182    182    184    186    188    187    187    185    182    171
##   [82,]    182    182    185    189    192    192    194    194    195    189
##   [83,]    182    182    186    191    195    198    201    203    207    205
##         [,848] [,849] [,850] [,851] [,852] [,853] [,854] [,855] [,856] [,857]
##    [1,]     48     47     46     44     41     38     34     31     29     29
##    [2,]     54     53     52     50     47     43     40     37     35     35
##    [3,]     58     58     57     54     51     47     44     42     39     39
##    [4,]     60     60     59     57     54     49     46     44     41     41
##    [5,]     60     60     60     59     56     51     48     45     43     43
##    [6,]     60     60     60     59     56     52     49     46     45     45
##    [7,]     60     60     60     59     56     52     50     48     47     47
##    [8,]     60     60     60     59     56     53     52     50     49     49
##    [9,]     60     60     60     59     57     55     54     52     51     52
##   [10,]     60     60     60     60     58     57     55     54     53     54
##   [11,]     60     60     60     60     60     59     57     56     55     56
##   [12,]     60     60     61     60     60     60     58     58     57     57
##   [13,]     60     60     64     64     61     60     59     59     59     59
##   [14,]     60     60     68     69     66     60     60     60     60     60
##   [15,]     60     67     74     76     74     68     63     60     60     60
##   [16,]     60     77     82     84     83     78     72     66     60     60
##   [17,]     70     81     86     89     89     84     78     71     67     62
##   [18,]     77     88     93     97     99     93     87     79     73     67
##   [19,]     85     94    100    105    108    103     96     86     78     69
##   [20,]     93    100    107    116    117    112    105     93     81     70
##   [21,]    101    107    115    121    121    121    114     99     85     70
##   [22,]    106    111    118    121    121    121    121    100     82     67
##   [23,]    105    109    113    119    121    121    121    101     87     78
##   [24,]    101    105    109    116    121    121    110    102     94     88
##   [25,]     96     99    103    111    117    121    113    107    103     99
##   [26,]     88     92     96    106    115    121    119    116    113    112
##   [27,]     75     82     87    100    112    121    121    121    120    120
##   [28,]     60     72     75     94    108    114    121    120    121    121
##   [29,]     60     60     66     87    101    107    111    115    119    121
##   [30,]     60     60     71     84     95     99    103    105    109    112
##   [31,]     60     60     70     81     88     91     94     96     99    100
##   [32,]     60     60     68     75     80     83     85     86     88     88
##   [33,]     60     60     65     70     72     74     75     76     76     76
##   [34,]     60     60     60     63     64     65     66     66     64     64
##   [35,]     60     60     60     60     61     61     62     61     60     61
##   [36,]     60     60     60     60     60     60     60     60     60     60
##   [37,]     60     60     60     60     60     60     60     60     60     60
##   [38,]     60     60     60     60     60     60     60     60     60     60
##   [39,]     60     60     60     60     60     60     60     60     60     60
##   [40,]     60     60     60     60     60     60     60     60     60     60
##   [41,]     60     60     60     60     60     60     60     60     60     60
##   [42,]     60     60     60     60     60     60     60     60     60     60
##   [43,]     60     60     60     60     60     60     60     60     60     60
##   [44,]     60     60     60     60     60     60     60     60     60     60
##   [45,]     60     60     60     60     60     60     60     60     60     60
##   [46,]     60     60     60     60     60     60     60     60     60     60
##   [47,]     60     60     60     60     60     60     60     60     60     60
##   [48,]     65     64     71     64     60     60     60     60     60     60
##   [49,]     85     84     83     75     70     65     60     60     60     60
##   [50,]    103     96     91     86     81     74     66     60     60     64
##   [51,]    122    112    104     99     96     86     76     66     67     74
##   [52,]    135    125    121    117    121    103     91     82     86     88
##   [53,]    155    146    136    131    127    118    106     99    100    102
##   [54,]    172    166    159    158    157    138    121    115    113    116
##   [55,]    190    183    177    178    181    172    146    121    120    122
##   [56,]    212    199    182    187    184    181    182    121    121    128
##   [57,]    235    220    208    196    188    182    161    143    136    141
##   [58,]    239    243    227    213    199    182    172    161    163    162
##   [59,]    237    243    243    227    213    198    182    176    173    172
##   [60,]    225    243    243    243    236    220    210    195    189    185
##   [61,]    215    234    243    243    243    243    231    217    209    200
##   [62,]    198    223    243    243    243    243    243    237    227    217
##   [63,]    182    202    221    243    243    243    243    243    243    233
##   [64,]    182    182    192    224    239    243    243    243    243    243
##   [65,]    182    182    210    218    231    238    243    243    243    243
##   [66,]    189    197    209    220    229    236    240    243    243    243
##   [67,]    198    208    216    224    231    238    242    243    243    243
##   [68,]    207    220    229    238    240    242    243    243    243    243
##   [69,]    215    234    243    240    243    243    243    243    243    243
##   [70,]    217    243    241    243    243    243    243    243    243    243
##   [71,]    208    222    231    238    243    243    243    243    243    243
##   [72,]    194    202    201    214    224    235    243    243    243    243
##   [73,]    183    185    183    190    202    214    229    232    237    243
##   [74,]    182    182    182    180    182    195    207    209    213    199
##   [75,]    170    174    167    169    173    179    190    190    187    183
##   [76,]    157    157    155    156    161    167    178    184    182    177
##   [77,]    143    145    143    143    149    155    164    171    158    163
##   [78,]    130    133    132    130    137    142    149    147    141    147
##   [79,]    121    123    123    122    125    129    132    128    126    138
##   [80,]    121    121    121    121    122    121    121    122    121    125
##   [81,]    139    121    121    121    121    121    121    121    121    121
##   [82,]    172    151    139    128    121    121    121    121    121    121
##   [83,]    194    182    182    160    139    121    121    121    121    121
##         [,858] [,859] [,860] [,861] [,862] [,863] [,864] [,865] [,866] [,867]
##    [1,]     31     34     37     41     44     48     51     54     56     58
##    [2,]     36     39     43     46     50     52     55     57     58     60
##    [3,]     41     45     49     52     55     57     58     60     61     61
##    [4,]     44     48     53     56     58     59     60     60     61     63
##    [5,]     46     51     55     57     59     60     60     61     63     67
##    [6,]     47     51     55     57     59     60     60     62     66     71
##    [7,]     49     52     55     56     58     59     60     64     69     76
##    [8,]     50     52     55     56     58     59     60     65     73     82
##    [9,]     53     54     56     57     58     59     60     62     75     90
##   [10,]     55     56     57     57     58     59     60     60     73     96
##   [11,]     56     57     57     58     58     59     59     60     63     78
##   [12,]     57     57     58     58     58     59     59     59     60     60
##   [13,]     58     58     59     59     59     59     59     60     60     60
##   [14,]     60     60     60     60     60     60     60     60     60     60
##   [15,]     60     60     60     60     60     60     60     60     60     60
##   [16,]     60     60     60     60     60     60     60     60     60     60
##   [17,]     60     60     60     60     60     60     60     60     60     60
##   [18,]     62     60     60     60     60     60     60     60     60     60
##   [19,]     63     61     60     60     60     60     60     60     60     60
##   [20,]     63     61     60     60     60     60     60     60     60     60
##   [21,]     63     60     60     60     60     60     60     60     60     60
##   [22,]     60     61     60     60     60     60     60     60     60     60
##   [23,]     72     71     72     73     75     77     80     81     81     69
##   [24,]     86     87     89     92     97    102    111    111    111     96
##   [25,]    100    104    106    108    114    121    134    145    142    121
##   [26,]    110    113    114    116    121    134    149    168    182    157
##   [27,]    120    121    121    124    137    151    170    180    179    182
##   [28,]    121    121    121    130    147    168    181    182    181    182
##   [29,]    121    120    121    126    143    167    173    167    176    182
##   [30,]    111    115    118    121    121    121    121    121    144    163
##   [31,]    102    106    110    113    116    118    121    121    121    147
##   [32,]     93     98    103    107    112    116    121    121    135    138
##   [33,]     84     90     96    101    107    113    120    121    125    128
##   [34,]     74     81     87     94    101    108    117    121    121    121
##   [35,]     64     71     78     86     94    105    116    121    121    121
##   [36,]     60     60     68     75     86    100    111    114    118    120
##   [37,]     60     60     60     68     81     96    107    111    115    119
##   [38,]     60     60     60     64     76     90    102    108    113    118
##   [39,]     60     60     60     66     74     85     97    105    111    118
##   [40,]     60     60     60     62     72     84     95    102    110    118
##   [41,]     60     60     60     67     71     81     91     98    105    111
##   [42,]     60     60     60     67     72     78     85     92     99    105
##   [43,]     60     60     60     65     69     72     78     85     92     99
##   [44,]     60     60     60     62     63     64     70     78     86     93
##   [45,]     60     60     60     60     60     60     60     72     81     89
##   [46,]     60     60     60     60     60     60     63     69     78     88
##   [47,]     60     60     60     60     60     60     60     64     71     80
##   [48,]     60     60     60     60     60     60     60     60     60     69
##   [49,]     60     60     60     60     60     60     60     60     60     60
##   [50,]     60     60     60     60     60     60     60     60     60     60
##   [51,]     75     70     64     60     60     60     60     60     60     60
##   [52,]     90     84     76     67     60     60     60     60     60     60
##   [53,]    105     97     88     79     67     60     60     60     60     60
##   [54,]    121    111    100     90     76     60     60     60     60     60
##   [55,]    122    121    112    102     88     74     67     62     60     60
##   [56,]    130    126    121    113    100     87     80     73     66     60
##   [57,]    143    138    131    125    113     95     88     80     72     65
##   [58,]    156    149    143    136    121    108     99     90     82     74
##   [59,]    165    157    150    144    134    121    110    101     93     87
##   [60,]    178    169    163    157    151    131    119    111    105    101
##   [61,]    191    182    179    177    182    161    138    121    118    117
##   [62,]    207    197    190    186    184    182    158    142    131    128
##   [63,]    223    213    206    197    188    182    172    159    155    149
##   [64,]    238    228    221    209    199    192    182    176    175    166
##   [65,]    243    243    234    222    214    209    196    182    187    182
##   [66,]    243    243    243    238    235    234    219    214    204    196
##   [67,]    243    243    243    243    243    243    243    232    222    215
##   [68,]    243    243    243    243    243    243    243    243    233    227
##   [69,]    243    243    243    243    243    243    243    243    243    240
##   [70,]    243    243    243    243    243    243    243    243    243    243
##   [71,]    243    243    243    243    243    243    243    243    243    243
##   [72,]    243    243    243    243    243    243    243    243    243    243
##   [73,]    243    243    240    242    243    243    243    243    243    243
##   [74,]    182    206    235    242    243    243    243    243    242    242
##   [75,]    184    182    226    243    243    243    243    243    242    242
##   [76,]    179    182    208    243    243    243    243    243    242    242
##   [77,]    166    175    186    206    222    235    243    243    241    241
##   [78,]    153    167    178    182    201    222    243    243    238    241
##   [79,]    145    163    177    181    182    209    243    243    232    240
##   [80,]    133    161    177    181    182    182    197    213    201    237
##   [81,]    121    161    179    182    182    182    182    208    243    182
##   [82,]    149    173    182    182    182    182    182    190    189    187
##   [83,]    143    157    176    182    182    182    184    185    182    182
##         [,868] [,869] [,870] [,871] [,872] [,873] [,874] [,875] [,876] [,877]
##    [1,]     60     61     63     65     68     70     74     77     79     79
##    [2,]     61     62     65     68     72     77     83     86     88     88
##    [3,]     63     65     69     73     78     85     91     95     96     96
##    [4,]     66     70     74     79     85     92     99    102    104    103
##    [5,]     71     76     81     87     93    100    106    109    110    110
##    [6,]     78     84     89     95    101    108    112    115    116    116
##    [7,]     84     92     98    104    109    114    117    119    120    120
##    [8,]     92    101    108    112    115    118    120    121    121    121
##    [9,]    103    111    116    118    120    121    121    121    121    121
##   [10,]    107    113    118    120    121    121    121    121    121    121
##   [11,]     95    106    114    119    121    121    121    121    121    121
##   [12,]     82     95    107    118    121    121    121    121    121    121
##   [13,]     72     86    101    119    121    121    121    121    121    121
##   [14,]     60     73     89    104    117    121    115    118    121    119
##   [15,]     60     60     75     90     92     83     96    101    108    114
##   [16,]     60     60     60     68     66     60     74     81     90     97
##   [17,]     60     60     60     60     60     60     60     60     71     76
##   [18,]     60     60     60     60     60     60     60     60     60     60
##   [19,]     60     60     60     60     60     60     60     60     60     60
##   [20,]     60     60     60     60     60     60     60     60     60     60
##   [21,]     60     60     60     60     60     60     60     60     60     60
##   [22,]     60     60     60     60     60     60     60     60     60     60
##   [23,]     60     60     60     60     60     60     60     60     60     60
##   [24,]     87     73     65     60     60     60     60     60     60     60
##   [25,]    121    104     89     71     65     60     60     60     60     60
##   [26,]    135    121    106    102     88     80     69     60     60     60
##   [27,]    172    150    139    132    113    101     95     81     71     66
##   [28,]    182    182    182    171    139    121    121    106     95     86
##   [29,]    182    182    182    182    172    169    147    128    115    108
##   [30,]    176    182    182    182    182    182    182    149    131    121
##   [31,]    157    161    172    182    182    172    162    154    139    126
##   [32,]    142    144    150    154    145    150    150    151    146    149
##   [33,]    127    129    129    126    123    127    149    161    164    169
##   [34,]    122    121    122    123    121    159    162    182    182    182
##   [35,]    121    121    122    121    147    182    182    177    182    182
##   [36,]    121    121    121    121    129    136    152    152    152    160
##   [37,]    121    121    121    121    121    121    121    121    121    153
##   [38,]    121    121    121    121    121    121    121    121    130    156
##   [39,]    121    121    121    121    121    121    121    142    172    182
##   [40,]    121    121    121    121    121    133    150    172    178    181
##   [41,]    116    121    121    121    121    131    148    154    177    182
##   [42,]    111    115    119    121    121    121    128    131    155    176
##   [43,]    106    113    119    121    121    121    121    121    135    164
##   [44,]    101    111    119    121    121    121    121    121    134    158
##   [45,]     98    112    121    121    121    121    121    121    136    147
##   [46,]     97    114    121    121    121    121    121    121    130    138
##   [47,]     89    101    113    119    121    121    121    121    122    124
##   [48,]     77     90    102    110    121    121    121    121    121    121
##   [49,]     65     78     88     97    105    116    121    121    117    106
##   [50,]     60     65     72     81     87     98    109    112     92     88
##   [51,]     60     60     60     66     67     79     88     83     69     71
##   [52,]     60     60     60     60     60     60     66     67     60     60
##   [53,]     60     60     60     60     60     60     60     60     61     60
##   [54,]     60     60     60     60     60     60     60     60     60     60
##   [55,]     60     60     60     60     60     60     60     60     60     60
##   [56,]     60     60     60     60     60     60     60     60     60     60
##   [57,]     60     60     60     60     60     60     60     60     60     60
##   [58,]     63     60     60     60     60     60     60     60     60     60
##   [59,]     79     73     65     60     60     60     60     60     60     60
##   [60,]     98     90     80     76     72     67     62     60     60     60
##   [61,]    119    105     93     89     82     76     69     60     60     60
##   [62,]    124    118    104    101     96     89     81     69     60     60
##   [63,]    136    121    114    113    110    103     90     76     68     60
##   [64,]    156    147    134    129    124    117    103     88     78     69
##   [65,]    177    182    165    153    140    129    116    100     89     80
##   [66,]    185    186    182    170    157    139    125    108     97     90
##   [67,]    206    203    191    182    172    152    134    118    109    105
##   [68,]    220    223    202    185    182    165    151    136    121    121
##   [69,]    240    243    220    192    180    177    170    164    162    167
##   [70,]    243    243    243    212    197    182    182    182    182    179
##   [71,]    243    243    231    222    213    209    206    197    189    185
##   [72,]    243    243    243    233    230    229    228    217    207    195
##   [73,]    243    243    243    243    243    243    243    237    221    203
##   [74,]    242    242    243    243    243    243    243    243    243    217
##   [75,]    242    242    243    243    243    243    243    243    243    237
##   [76,]    242    242    242    243    243    243    243    243    243    243
##   [77,]    242    242    242    243    243    243    243    243    243    243
##   [78,]    242    242    243    243    243    243    243    243    243    244
##   [79,]    242    242    243    243    242    243    243    244    244    245
##   [80,]    243    243    236    237    239    242    243    244    245    247
##   [81,]    182    206    219    226    234    240    243    245    247    250
##   [82,]    183    182    203    218    230    239    243    247    250    253
##   [83,]    182    201    207    220    234    243    247    250    253    256
##         [,878] [,879] [,880] [,881] [,882] [,883] [,884] [,885] [,886] [,887]
##    [1,]     79     80     80     81     82     82     82     81     80     78
##    [2,]     87     87     87     88     89     89     89     89     88     86
##    [3,]     94     93     94     95     96     96     96     97     96     94
##    [4,]    101     99     99    100    101    101    102    103    103    103
##    [5,]    108    105    105    106    106    107    107    109    110    111
##    [6,]    114    111    110    111    111    112    113    114    116    117
##    [7,]    119    117    115    116    116    117    117    118    119    120
##    [8,]    121    120    120    120    120    120    119    119    120    121
##    [9,]    121    121    121    121    121    121    121    121    121    121
##   [10,]    121    121    121    121    121    121    121    121    121    121
##   [11,]    121    121    121    121    121    121    121    121    121    121
##   [12,]    121    121    121    121    121    121    121    121    121    121
##   [13,]    121    121    121    121    121    121    121    121    121    121
##   [14,]    121    121    121    121    121    121    121    121    121    121
##   [15,]    119    121    121    121    121    117    121    120    121    121
##   [16,]    108    107    111    112    104    105    103    110    117    118
##   [17,]     88     91     95     92     89     89     85     95    106    111
##   [18,]     71     75     77     77     75     72     67     82     97    105
##   [19,]     60     64     65     65     64     60     61     76     87     96
##   [20,]     60     60     61     61     60     61     61     70     78     85
##   [21,]     60     60     60     60     60     60     60     66     70     73
##   [22,]     60     60     60     60     60     60     60     60     63     64
##   [23,]     60     60     60     60     60     60     60     60     60     61
##   [24,]     60     60     60     60     60     60     60     60     60     60
##   [25,]     60     60     60     60     60     60     60     60     60     60
##   [26,]     60     60     60     60     60     60     60     60     60     60
##   [27,]     60     60     60     63     60     60     60     60     60     60
##   [28,]     80     81     82     74     74     67     60     60     60     60
##   [29,]    105    111    103     94     92     87     80     69     67     68
##   [30,]    121    124    121    111    110    107    101     91     89     90
##   [31,]    142    146    145    138    132    132    117    110    109    113
##   [32,]    160    170    182    182    165    160    145    121    121    138
##   [33,]    177    181    181    182    182    182    182    158    158    158
##   [34,]    180    182    182    182    183    183    183    182    182    182
##   [35,]    182    181    182    182    184    185    183    182    182    182
##   [36,]    175    180    182    185    187    187    183    182    182    182
##   [37,]    170    179    182    192    199    194    184    182    182    182
##   [38,]    177    187    204    216    228    209    188    183    182    180
##   [39,]    185    203    219    243    238    235    202    186    182    168
##   [40,]    192    203    218    236    243    243    211    189    177    156
##   [41,]    182    194    208    223    243    243    214    198    187    182
##   [42,]    181    182    189    204    214    223    210    197    182    152
##   [43,]    178    182    182    182    182    197    198    192    182    151
##   [44,]    182    182    182    182    181    185    189    188    182    151
##   [45,]    154    162    166    165    178    182    183    183    169    147
##   [46,]    135    134    132    121    162    182    182    155    142    132
##   [47,]    125    124    121    121    141    169    182    119     86     91
##   [48,]    121    121    116    121    119    127    121     60     71     62
##   [49,]    108    108     99     98     90     91     66     69     63     62
##   [50,]     86     77     71     60     62     61     60     65     61     60
##   [51,]     65     62     60     62     60     61     61     60     72     88
##   [52,]     61     60     60     60     60     60     60     86    101    121
##   [53,]     60     60     60     60     60     69     86     99    115    119
##   [54,]     60     60     60     60     72     90     97    104    113    121
##   [55,]     60     60     60     81     99    105    108    110    114    121
##   [56,]     60     60     81    111    120    121    121    119    119    120
##   [57,]     60     60     60    108    120    121    121    121    121    121
##   [58,]     60     60     60     87    121    121    121    121    121    121
##   [59,]     60     60     60     60     90    121    121    121    121    121
##   [60,]     60     60     60     60     60     95    121    121    121    121
##   [61,]     60     60     60     60     72     87    121    121    121    121
##   [62,]     60     60     60     60     60     69     75    100    114    120
##   [63,]     60     60     60     60     60     60     60     60     97    121
##   [64,]     60     60     60     60     60     60     60     60     91    133
##   [65,]     71     60     60     60     60     60     60     77     90    128
##   [66,]     82     72     60     60     60     60     60     71     87    113
##   [67,]    101     90     78     63     60     60     60     60     67    106
##   [68,]    121    109     96     74     60     60     60     60     60    106
##   [69,]    147    127    114     86     66     60     60     60     60    110
##   [70,]    182    145    113     89     80     71     60     71    108    116
##   [71,]    182    158    115     99     93     86     90     89    114    120
##   [72,]    185    182    118    110    106    104    108    109    119    121
##   [73,]    185    177    145    120    119    119    130    125    121    121
##   [74,]    201    182    163    154    152    158    158    145    130    121
##   [75,]    221    206    185    178    188    182    182    160    140    121
##   [76,]    243    228    210    209    209    196    189    182    163    131
##   [77,]    243    243    226    227    227    215    202    192    173    139
##   [78,]    244    244    244    244    243    237    219    204    187    159
##   [79,]    246    246    247    245    245    243    232    217    196    182
##   [80,]    249    251    250    249    248    245    240    226    204    182
##   [81,]    252    255    254    255    254    250    243    236    213    194
##   [82,]    256    261    262    267    270    263    254    243    225    206
##   [83,]    259    270    282    292    304    285    270    255    237    218
##         [,888] [,889] [,890] [,891] [,892] [,893] [,894] [,895] [,896] [,897]
##    [1,]     76     74     71     68     64     61     59     58     58     57
##    [2,]     85     83     81     76     71     68     66     64     62     60
##    [3,]     94     93     91     83     78     76     74     72     67     63
##    [4,]    104    103    102     96     89     86     84     79     76     70
##    [5,]    112    112    111    107    101     98     96     92     86     80
##    [6,]    118    118    118    115    112    108    107    105    101     94
##    [7,]    121    121    121    121    120    117    116    115    112    107
##    [8,]    121    121    122    122    122    122    122    123    121    118
##    [9,]    121    122    123    123    123    125    125    126    128    128
##   [10,]    121    123    124    124    125    127    128    131    135    139
##   [11,]    121    123    124    125    126    129    132    137    143    150
##   [12,]    121    123    125    126    127    129    136    145    154    162
##   [13,]    121    121    122    123    121    121    131    150    164    174
##   [14,]    121    121    121    121    121    121    134    158    177    181
##   [15,]    121    121    121    121    121    141    153    182    178    181
##   [16,]    119    120    121    121    121    138    153    162    175    181
##   [17,]    116    120    121    121    121    133    142    149    157    157
##   [18,]    112    121    121    121    121    124    129    133    136    134
##   [19,]    103    110    121    121    121    121    121    122    123    124
##   [20,]     90     94    104    113    114    119    121    121    121    122
##   [21,]     75     74     85     94    100    108    111    113    117    121
##   [22,]     64     60     73     83     92    100    104    105    110    113
##   [23,]     60     61     60     69     80     89     93     94     99    105
##   [24,]     60     60     60     60     68     79     82     83     88     97
##   [25,]     60     60     60     60     60     69     71     72     78     86
##   [26,]     60     60     60     60     60     60     60     60     67     74
##   [27,]     60     60     60     60     60     60     60     60     60     64
##   [28,]     60     60     60     60     60     60     60     60     60     60
##   [29,]     68     68     65     60     60     60     60     60     60     60
##   [30,]     91     91     82     70     60     60     60     60     60     60
##   [31,]    114    114    100     88     82     73     60     60     60     60
##   [32,]    141    130    116    108     99     90     81     79     72     62
##   [33,]    161    149    129    121    111    101     98     97     89     77
##   [34,]    182    174    163    141    128    116    115    115    100     89
##   [35,]    182    182    182    167    151    146    138    129    116    103
##   [36,]    182    182    182    182    175    173    162    150    133    117
##   [37,]    182    182    182    182    182    182    182    170    152    130
##   [38,]    182    182    174    179    182    182    182    182    154    134
##   [39,]    151    155    158    164    167    174    182    164    143    132
##   [40,]    121    132    141    146    148    152    146    145    138    125
##   [41,]    121    121    125    128    130    128    121    128    124    123
##   [42,]    121    121    121    123    124    121    123    121    122    121
##   [43,]    121    117    121    121    121    122    120    121    121    121
##   [44,]    121    111    121    121    121    121    117    118    119    120
##   [45,]    121     83     94    112    121    113    111    115    117    119
##   [46,]    121     64     60     81     89     94    100    114    117    118
##   [47,]     67     65     62     61     67     73     93    113    117    118
##   [48,]     61     62     61     60     61     60     91    114    118    119
##   [49,]     61     61     60     79     87    110    132    147    132    126
##   [50,]     60     60    109    133    148    159    182    181    164    147
##   [51,]     98    105    162    177    184    190    204    209    191    173
##   [52,]    121    153    182    182    187    207    228    243    222    197
##   [53,]    146    167    172    182    194    212    243    241    243    211
##   [54,]    161    182    182    182    186    200    216    238    233    222
##   [55,]    141    164    182    182    182    182    197    205    226    230
##   [56,]    125    144    154    169    169    172    179    184    191    222
##   [57,]    121    121    121    138    137    151    166    181    199    211
##   [58,]    121    121    121    121    121    131    153    182    192    205
##   [59,]    121    121    121    121    121    121    131    167    182    192
##   [60,]    121    121    121    129    135    142    137    156    174    182
##   [61,]    121    121    139    152    167    182    177    172    182    189
##   [62,]    130    147    158    175    181    180    182    182    180    182
##   [63,]    166    172    173    182    182    181    182    182    182    182
##   [64,]    161    182    182    181    182    182    182    182    182    182
##   [65,]    144    158    173    182    182    182    182    182    182    182
##   [66,]    121    137    144    156    165    174    179    182    182    173
##   [67,]    119    121    121    130    141    147    154    164    162    159
##   [68,]    118    120    121    121    121    121    134    148    158    160
##   [69,]    119    121    121    121    121    121    121    130    177    182
##   [70,]    121    121    121    121    121    121    121    121    121    182
##   [71,]    121    121    121    121    121    121    121    121    121    131
##   [72,]    121    121    121    121    121    121    121    121    121    121
##   [73,]    121    121    121    121    121    121    121    121    121    121
##   [74,]    121    121    121    121    121    121    121    121    121    121
##   [75,]    121    121    121    121    121    121    121    121    121    121
##   [76,]    121    121    121    121    121    121    121    121    121    121
##   [77,]    121    121    121    121    121    121    121    121    121    121
##   [78,]    131    121    121    121    121    121    121    121    121    121
##   [79,]    150    121    121    121    121    121    121    121    121    121
##   [80,]    165    148    130    121    121    121    121    121    121    121
##   [81,]    182    167    151    134    121    121    121    121    121    121
##   [82,]    195    186    173    149    129    121    121    121    121    121
##   [83,]    206    195    182    170    145    121    121    121    121    121
##         [,898] [,899] [,900] [,901] [,902] [,903] [,904] [,905] [,906] [,907]
##    [1,]     57     56     56     56     56     57     58     60     62     66
##    [2,]     58     56     54     54     54     55     57     60     63     66
##    [3,]     60     57     54     53     54     55     57     60     63     67
##    [4,]     66     61     59     57     57     57     58     60     62     65
##    [5,]     74     70     67     65     63     62     62     62     62     63
##    [6,]     87     81     78     75     73     70     69     66     65     65
##    [7,]    100     94     90     87     85     82     79     75     74     73
##    [8,]    113    108    104    101     99     95     92     87     85     84
##    [9,]    127    122    118    116    114    109    105    100     98     96
##   [10,]    141    142    138    136    134    128    120    119    117    113
##   [11,]    156    161    160    158    154    146    134    142    136    129
##   [12,]    173    181    182    182    176    169    163    166    155    143
##   [13,]    181    182    181    182    182    182    180    181    182    166
##   [14,]    181    181    182    182    182    182    182    182    182    182
##   [15,]    181    182    182    164    166    171    178    182    182    182
##   [16,]    182    164    150    133    143    155    173    182    182    182
##   [17,]    150    121    121    128    121    143    168    182    182    182
##   [18,]    125    124    123    122    121    135    162    181    178    182
##   [19,]    123    122    121    122    121    121    139    142    160    170
##   [20,]    122    121    121    121    121    121    121    121    138    154
##   [21,]    120    120    121    121    121    121    121    121    121    129
##   [22,]    115    117    120    121    121    121    121    121    121    121
##   [23,]    111    115    119    121    121    121    121    121    136    170
##   [24,]    106    113    121    121    121    121    121    121    147    163
##   [25,]     97    104    111    118    121    121    121    121    140    151
##   [26,]     88     94    101    108    114    121    121    121    130    136
##   [27,]     79     85     91     98    103    107    116    121    121    123
##   [28,]     71     74     81     87     92     99    109    115    121    120
##   [29,]     63     64     71     77     81     89     99    106    109    116
##   [30,]     60     60     60     67     69     78     89     97    102    109
##   [31,]     60     60     60     60     60     72     83     91     97    103
##   [32,]     60     60     60     60     60     64     73     81     88     94
##   [33,]     66     60     60     60     60     60     60     69     73     76
##   [34,]     83     75     66     60     60     60     60     60     60     60
##   [35,]     99     94     84     72     60     60     60     60     60     60
##   [36,]    116    114    103     90     79     67     62     60     60     60
##   [37,]    124    122    121    109     91     76     68     66     63     60
##   [38,]    128    124    121    118     99     83     75     73     70     69
##   [39,]    128    125    123    121    106     88     81     80     77     76
##   [40,]    124    124    123    121    108     92     85     84     82     81
##   [41,]    121    121    122    122    111     97     92     91     89     89
##   [42,]    122    121    121    121    105    101     99     98     96     96
##   [43,]    121    121    121    121    110    107    105    105    104    104
##   [44,]    120    121    121    121    116    113    112    112    111    112
##   [45,]    120    120    120    121    120    119    118    119    118    119
##   [46,]    119    120    120    121    121    121    121    123    121    124
##   [47,]    119    120    120    121    121    121    127    131    136    135
##   [48,]    120    120    121    121    122    121    138    142    147    148
##   [49,]    121    121    121    121    134    142    149    154    158    162
##   [50,]    131    121    121    143    148    155    160    166    170    176
##   [51,]    153    140    154    157    160    164    168    173    177    182
##   [52,]    182    176    182    175    176    178    179    187    187    184
##   [53,]    197    182    187    187    195    195    200    203    198    194
##   [54,]    219    220    214    216    214    215    218    224    218    208
##   [55,]    243    243    243    240    234    234    236    243    243    230
##   [56,]    241    243    248    256    253    243    243    246    244    243
##   [57,]    227    243    255    288    304    304    284    255    247    244
##   [58,]    219    232    241    255    293    304    288    266    248    244
##   [59,]    210    228    239    252    270    272    272    253    243    243
##   [60,]    208    238    242    246    261    256    252    246    245    238
##   [61,]    198    217    243    240    243    248    248    246    243    229
##   [62,]    182    201    215    238    243    243    245    245    243    221
##   [63,]    181    182    191    214    238    243    243    243    243    222
##   [64,]    180    178    179    192    222    243    243    243    243    214
##   [65,]    177    173    172    181    201    215    226    227    215    202
##   [66,]    168    160    159    182    182    186    182    191    182    187
##   [67,]    148    129    129    153    169    169    167    161    143    146
##   [68,]    153    121    122    121    138    137    134    121    127    123
##   [69,]    182    167    128    122    121    125    124    122    121    121
##   [70,]    182    182    153    121    121    121    121    121    121    121
##   [71,]    165    182    165    121    121    121    121    121    121    121
##   [72,]    121    182    151    121    121    121    121    121    121    121
##   [73,]    121    121    140    121    121    121    121    121    121    121
##   [74,]    121    121    123    123    122    121    121    121    121    131
##   [75,]    121    121    121    121    123    122    121    121    123    139
##   [76,]    121    121    121    121    121    121    121    121    124    137
##   [77,]    121    121    121    121    121    121    121    121    121    131
##   [78,]    121    121    121    121    121    121    121    121    121    121
##   [79,]    121    121    121    121    121    121    121    121    121    121
##   [80,]    121    121    121    121    121    121    121    121    121    121
##   [81,]    121    121    121    121    121    121    121    121    121    121
##   [82,]    121    121    121    121    121    121    121    121    121    121
##   [83,]    121    121    121    121    121    121    121    121    121    121
##         [,908] [,909] [,910] [,911] [,912] [,913] [,914] [,915] [,916] [,917]
##    [1,]     70     75     81     87     94    100    105    110    114    118
##    [2,]     71     76     81     87     94    100    106    111    115    119
##    [3,]     72     76     81     87     95    102    109    114    118    121
##    [4,]     68     72     76     84     94    103    110    115    118    121
##    [5,]     65     67     72     82     93    104    112    117    120    121
##    [6,]     66     67     72     84     96    107    115    119    121    121
##    [7,]     73     73     79     91    103    112    117    120    121    121
##    [8,]     83     82     88     98    108    115    119    121    121    121
##    [9,]     95     92     95    103    112    118    121    121    121    121
##   [10,]    110    105    105    110    116    120    121    121    121    121
##   [11,]    123    115    115    118    120    121    121    121    121    121
##   [12,]    133    121    121    122    123    121    121    121    121    121
##   [13,]    151    136    121    133    129    125    121    121    121    121
##   [14,]    175    159    154    145    138    133    126    121    121    121
##   [15,]    182    182    171    158    149    143    133    121    121    121
##   [16,]    182    182    182    174    172    170    151    130    121    133
##   [17,]    182    182    182    182    181    182    182    156    160    159
##   [18,]    182    182    182    182    182    182    182    170    170    178
##   [19,]    182    182    182    182    182    182    182    182    180    180
##   [20,]    171    182    181    182    182    182    182    182    182    182
##   [21,]    157    170    179    182    182    182    182    182    182    182
##   [22,]    150    173    182    182    182    182    182    182    182    182
##   [23,]    172    178    181    181    182    182    182    182    182    182
##   [24,]    182    182    181    176    179    182    182    182    182    182
##   [25,]    161    174    171    165    173    182    182    182    182    182
##   [26,]    142    149    129    147    160    171    182    182    182    182
##   [27,]    125    125    122    126    144    154    162    170    173    170
##   [28,]    121    121    121    121    130    136    139    140    145    138
##   [29,]    117    120    121    121    121    124    121    121    129    126
##   [30,]    114    119    121    121    121    121    121    121    121    122
##   [31,]    110    118    121    121    121    121    121    121    120    120
##   [32,]    103    115    119    119    121    121    121    121    120    118
##   [33,]     86     97    105    113    121    121    121    121    119    116
##   [34,]     67     79     87     98    106    115    121    117    113    114
##   [35,]     60     65     73     81     87     94     92    106    109    112
##   [36,]     60     60     60     66     67     69     68     97    107    111
##   [37,]     60     60     60     60     60     60     68     95    105    110
##   [38,]     66     64     63     62     60     60     76     96    104    109
##   [39,]     74     72     72     70     69     72     92     98    102    108
##   [40,]     79     78     78     77     77     80     92     96    104    110
##   [41,]     87     87     88     87     88     92     95    101    110    118
##   [42,]     95     96     97     98    100    103    106    113    121    122
##   [43,]    103    104    106    107    108    110    113    119    128    133
##   [44,]    111    111    112    113    114    116    118    120    135    146
##   [45,]    117    117    117    118    120    120    121    124    138    151
##   [46,]    121    121    121    121    121    121    122    127    142    150
##   [47,]    134    128    130    128    126    125    123    126    138    146
##   [48,]    147    143    138    134    130    127    124    124    132    139
##   [49,]    162    153    146    139    134    128    124    122    127    133
##   [50,]    177    162    152    144    136    128    121    121    121    124
##   [51,]    181    168    157    147    138    129    121    121    121    121
##   [52,]    183    174    163    152    142    132    121    121    121    121
##   [53,]    185    177    168    158    147    137    128    121    121    121
##   [54,]    193    182    174    164    154    143    128    121    121    121
##   [55,]    210    194    182    173    162    150    129    121    121    121
##   [56,]    227    212    200    188    177    164    141    121    121    121
##   [57,]    243    231    219    205    192    182    152    121    121    121
##   [58,]    243    243    237    221    204    184    162    121    121    121
##   [59,]    243    243    243    243    224    198    166    131    121    122
##   [60,]    235    233    238    243    243    204    167    121    126    122
##   [61,]    213    203    212    211    211    200    166    121    121    122
##   [62,]    196    182    191    193    182    182    151    121    121    121
##   [63,]    182    181    180    184    173    154    130    123    122    122
##   [64,]    182    171    166    155    150    135    123    122    121    122
##   [65,]    182    158    143    130    127    122    123    122    122    121
##   [66,]    150    142    121    125    122    121    122    122    121    121
##   [67,]    124    122    123    122    121    121    121    121    121    128
##   [68,]    121    122    121    121    121    121    121    121    121    121
##   [69,]    121    121    121    121    121    121    121    121    121    125
##   [70,]    121    121    121    121    121    121    121    121    121    142
##   [71,]    121    121    121    121    121    121    139    145    162    182
##   [72,]    121    121    121    121    152    164    170    175    191    199
##   [73,]    121    121    162    182    167    182    188    199    217    226
##   [74,]    145    172    180    180    181    181    195    207    228    243
##   [75,]    157    168    182    181    182    182    182    185    182    213
##   [76,]    151    166    182    182    182    181    182    182    183    182
##   [77,]    145    159    169    182    169    172    178    181    182    191
##   [78,]    136    147    155    154    154    158    168    176    182    182
##   [79,]    128    134    138    138    140    142    156    169    182    182
##   [80,]    121    123    124    124    122    121    132    151    176    182
##   [81,]    121    121    121    121    121    121    121    121    169    182
##   [82,]    121    121    121    121    121    121    121    162    182    179
##   [83,]    121    121    121    121    121    121    146    170    179    172
##         [,918] [,919] [,920] [,921] [,922] [,923] [,924] [,925] [,926] [,927]
##    [1,]    123    129    137    145    152    159    163    168    173    177
##    [2,]    124    131    139    148    158    167    172    177    180    184
##    [3,]    126    135    145    156    167    173    182    188    190    190
##    [4,]    127    137    149    161    170    176    181    184    186    187
##    [5,]    129    143    156    167    172    175    177    180    182    183
##    [6,]    124    134    148    160    165    167    169    172    176    179
##    [7,]    121    126    135    146    154    156    159    163    168    174
##    [8,]    121    122    127    134    140    142    146    151    159    167
##    [9,]    121    121    121    123    126    128    131    138    148    159
##   [10,]    121    121    121    121    121    122    123    129    139    149
##   [11,]    121    121    121    121    121    121    121    125    133    141
##   [12,]    121    121    121    121    121    121    121    124    129    133
##   [13,]    121    121    121    121    121    121    121    121    121    121
##   [14,]    121    121    121    121    121    121    121    121    121    121
##   [15,]    121    121    121    121    121    121    121    121    121    121
##   [16,]    150    139    132    127    121    121    121    121    121    121
##   [17,]    182    166    160    157    152    135    125    121    121    121
##   [18,]    182    182    177    182    168    151    131    122    121    121
##   [19,]    182    182    182    181    182    160    132    122    121    121
##   [20,]    182    182    182    182    182    160    132    121    121    121
##   [21,]    182    182    182    182    182    155    125    122    122    121
##   [22,]    182    182    182    182    182    154    128    121    121    121
##   [23,]    182    182    182    182    182    153    125    122    122    122
##   [24,]    182    182    182    178    159    143    126    123    122    122
##   [25,]    182    182    182    172    155    125    122    122    122    122
##   [26,]    182    182    182    182    164    134    122    121    122    122
##   [27,]    155    164    182    182    182    149    121    121    122    122
##   [28,]    121    138    161    169    170    153    124    122    122    122
##   [29,]    126    121    137    136    133    121    125    122    122    122
##   [30,]    121    122    121    124    121    122    121    122    122    122
##   [31,]    121    121    121    121    121    121    121    121    121    121
##   [32,]    119    119    120    121    121    121    121    121    121    121
##   [33,]    117    118    119    120    120    120    121    121    121    121
##   [34,]    115    117    118    119    119    120    120    121    121    121
##   [35,]    114    116    118    118    119    119    120    121    121    121
##   [36,]    113    115    117    118    118    119    120    120    121    121
##   [37,]    112    114    116    117    118    119    120    120    121    121
##   [38,]    111    114    116    117    118    119    120    120    121    121
##   [39,]    111    113    115    117    118    120    120    121    121    121
##   [40,]    112    114    116    118    120    121    121    121    121    121
##   [41,]    117    119    120    120    121    121    121    124    121    121
##   [42,]    121    131    136    138    127    121    121    136    134    121
##   [43,]    141    150    158    163    167    142    149    160    169    163
##   [44,]    157    170    182    182    181    182    176    182    180    182
##   [45,]    164    177    181    182    182    182    182    186    192    196
##   [46,]    161    168    175    182    182    182    186    195    203    211
##   [47,]    154    161    168    174    181    182    191    202    214    223
##   [48,]    146    153    160    166    174    182    191    205    222    238
##   [49,]    141    148    154    164    173    178    182    198    220    243
##   [50,]    132    139    147    156    166    172    178    182    205    219
##   [51,]    125    132    140    150    160    167    174    182    192    198
##   [52,]    121    127    133    143    153    160    167    173    178    181
##   [53,]    121    121    126    135    145    152    159    166    169    174
##   [54,]    121    121    121    127    136    144    151    158    162    167
##   [55,]    121    121    121    121    127    136    143    150    155    161
##   [56,]    121    121    121    121    121    128    135    142    149    157
##   [57,]    121    121    121    121    121    121    127    135    143    153
##   [58,]    121    121    121    121    121    121    121    131    139    150
##   [59,]    121    121    121    121    121    121    123    128    134    146
##   [60,]    122    121    122    122    121    121    121    127    129    142
##   [61,]    122    122    123    122    122    121    121    121    123    136
##   [62,]    121    122    124    122    122    121    121    121    121    130
##   [63,]    121    121    127    122    122    121    121    121    121    123
##   [64,]    121    121    131    121    121    121    121    121    121    121
##   [65,]    121    152    183    192    187    167    162    152    131    121
##   [66,]    182    170    200    221    209    206    199    190    182    146
##   [67,]    151    182    220    240    235    234    223    211    199    180
##   [68,]    151    182    223    243    242    245    243    231    214    202
##   [69,]    129    162    198    243    243    247    248    243    228    217
##   [70,]    121    162    192    243    243    254    260    259    250    237
##   [71,]    182    182    179    223    243    263    277    284    270    252
##   [72,]    205    205    209    233    253    278    297    302    288    265
##   [73,]    231    243    243    259    284    304    296    303    297    277
##   [74,]    243    242    259    275    295    302    303    303    302    288
##   [75,]    243    243    252    268    281    292    304    304    304    304
##   [76,]    209    233    243    255    265    280    296    304    304    304
##   [77,]    195    227    242    243    243    259    275    292    304    304
##   [78,]    184    184    213    225    233    240    252    276    299    304
##   [79,]    182    182    183    182    211    230    243    255    267    284
##   [80,]    182    182    182    194    200    219    243    243    243    243
##   [81,]    182    182    182    186    189    192    199    225    234    240
##   [82,]    182    182    180    181    182    182    182    195    226    239
##   [83,]    169    170    176    181    182    182    182    199    217    234
##         [,928] [,929] [,930] [,931] [,932] [,933] [,934] [,935] [,936] [,937]
##    [1,]    179    179    179    179    180    182    186    189    187    180
##    [2,]    186    186    188    187    186    189    193    195    192    185
##    [3,]    192    194    194    192    191    194    198    199    196    189
##    [4,]    188    190    192    192    192    194    197    197    194    186
##    [5,]    184    186    188    189    192    195    196    194    191    187
##    [6,]    182    183    185    188    195    201    201    196    191    188
##    [7,]    178    181    185    193    201    210    207    200    193    189
##    [8,]    174    179    188    201    214    222    215    205    196    190
##    [9,]    170    175    188    214    230    236    229    210    196    188
##   [10,]    160    168    179    205    225    235    232    208    194    187
##   [11,]    150    160    174    191    217    229    220    208    195    187
##   [12,]    141    150    160    173    191    205    204    200    182    186
##   [13,]    130    138    148    161    174    182    188    188    182    182
##   [14,]    121    126    135    149    163    173    182    184    184    182
##   [15,]    121    121    121    136    151    161    171    182    182    181
##   [16,]    121    121    121    126    142    152    160    169    182    175
##   [17,]    121    121    121    121    126    137    141    147    145    158
##   [18,]    121    121    121    121    121    121    121    121    121    140
##   [19,]    121    121    121    121    121    121    121    121    121    127
##   [20,]    121    121    121    121    121    121    121    121    121    124
##   [21,]    121    121    121    121    121    121    121    121    121    121
##   [22,]    121    121    121    121    121    121    121    121    121    121
##   [23,]    121    121    121    121    121    121    121    121    121    121
##   [24,]    121    121    121    121    121    121    121    121    121    121
##   [25,]    122    121    121    121    121    121    121    121    121    121
##   [26,]    121    121    121    121    121    121    121    121    121    121
##   [27,]    121    121    121    121    121    121    121    121    121    121
##   [28,]    121    121    121    121    121    121    121    121    121    121
##   [29,]    121    121    121    121    121    121    121    121    121    121
##   [30,]    121    121    121    121    121    121    121    121    121    121
##   [31,]    121    121    121    121    121    121    121    121    121    121
##   [32,]    121    121    121    121    121    121    121    121    121    121
##   [33,]    121    121    121    121    121    121    121    121    121    121
##   [34,]    121    121    121    121    121    121    121    121    121    121
##   [35,]    121    121    121    121    121    121    121    121    121    121
##   [36,]    121    121    121    121    121    121    121    121    121    121
##   [37,]    121    121    121    121    121    121    121    121    121    121
##   [38,]    121    121    121    121    121    121    121    121    121    121
##   [39,]    121    122    122    121    121    121    121    121    121    121
##   [40,]    121    125    124    121    121    121    121    121    121    121
##   [41,]    121    132    130    126    123    121    121    121    121    121
##   [42,]    149    140    137    133    128    121    121    121    121    121
##   [43,]    166    165    151    145    140    129    121    135    133    121
##   [44,]    182    182    171    164    164    158    161    163    182    163
##   [45,]    199    192    186    180    187    188    188    188    188    185
##   [46,]    221    216    205    206    204    204    203    204    205    201
##   [47,]    238    230    218    218    219    216    214    214    215    214
##   [48,]    242    243    237    237    237    232    230    229    231    236
##   [49,]    243    243    243    243    243    243    241    239    243    241
##   [50,]    236    243    243    243    243    242    242    242    243    243
##   [51,]    214    233    243    243    237    240    242    243    243    243
##   [52,]    192    212    228    226    230    234    241    243    243    243
##   [53,]    179    182    200    210    220    231    242    243    243    243
##   [54,]    174    181    186    191    207    224    243    243    243    243
##   [55,]    168    176    179    182    182    202    236    243    243    243
##   [56,]    166    172    177    181    182    194    227    241    243    243
##   [57,]    163    170    176    182    184    202    233    243    250    265
##   [58,]    161    168    175    182    186    202    225    243    255    275
##   [59,]    158    166    174    182    189    199    218    235    243    266
##   [60,]    154    163    172    182    188    196    212    231    243    253
##   [61,]    148    156    165    172    179    186    205    228    241    249
##   [62,]    140    149    157    165    172    178    194    224    243    250
##   [63,]    132    140    149    159    167    179    194    213    227    239
##   [64,]    121    132    143    153    163    175    182    202    217    229
##   [65,]    121    124    140    151    161    173    182    195    210    224
##   [66,]    121    141    144    155    163    177    186    197    211    225
##   [67,]    171    162    162    164    168    176    182    200    216    232
##   [68,]    190    182    178    175    175    178    182    197    219    243
##   [69,]    205    193    182    182    180    180    181    182    213    228
##   [70,]    225    212    208    197    191    184    182    182    204    222
##   [71,]    243    231    229    218    215    202    182    202    208    222
##   [72,]    255    247    243    237    236    227    219    220    227    237
##   [73,]    265    254    245    244    243    243    237    238    243    241
##   [74,]    274    257    243    243    243    243    243    243    243    243
##   [75,]    287    263    243    243    243    243    243    243    243    243
##   [76,]    298    272    243    243    243    243    243    243    243    243
##   [77,]    304    280    243    243    243    243    243    243    243    243
##   [78,]    304    293    267    243    243    241    243    243    243    243
##   [79,]    304    277    261    254    243    231    228    237    243    243
##   [80,]    243    269    260    251    243    216    203    215    226    238
##   [81,]    243    243    247    248    245    192    186    190    206    220
##   [82,]    243    243    243    243    244    243    182    185    182    198
##   [83,]    243    243    243    243    243    243    196    182    183    182
##         [,938] [,939] [,940] [,941] [,942] [,943] [,944] [,945] [,946] [,947]
##    [1,]    170    158    147    138    131    130    132    137    140    138
##    [2,]    173    159    147    139    134    134    140    146    150    147
##    [3,]    172    156    144    141    137    143    151    156    159    154
##    [4,]    173    158    150    154    158    158    163    167    164    154
##    [5,]    180    174    167    173    179    176    176    175    169    159
##    [6,]    185    182    187    193    201    193    188    181    171    160
##    [7,]    189    192    202    214    218    211    200    187    173    158
##    [8,]    191    200    213    221    226    218    207    192    175    157
##    [9,]    191    197    204    214    228    223    205    186    171    155
##   [10,]    187    190    194    203    209    200    187    174    161    145
##   [11,]    184    184    187    195    212    199    186    175    163    151
##   [12,]    183    182    182    197    226    210    187    179    177    165
##   [13,]    182    182    182    182    243    243    211    203    192    182
##   [14,]    181    182    182    182    243    243    227    224    210    194
##   [15,]    180    182    182    206    232    243    242    243    235    214
##   [16,]    178    182    182    194    210    225    243    243    234    231
##   [17,]    167    174    179    182    190    204    215    232    240    243
##   [18,]    156    164    172    182    182    182    185    204    222    243
##   [19,]    144    152    159    167    176    179    180    182    193    203
##   [20,]    134    140    143    153    160    167    174    179    181    182
##   [21,]    125    126    127    137    149    161    171    178    181    182
##   [22,]    121    121    121    121    139    158    173    179    182    206
##   [23,]    121    121    121    128    140    162    176    182    197    211
##   [24,]    121    121    125    138    151    173    181    182    187    202
##   [25,]    121    121    128    139    152    174    182    180    182    182
##   [26,]    121    121    129    138    149    168    176    178    181    182
##   [27,]    121    121    121    130    140    156    165    174    182    180
##   [28,]    121    121    121    121    126    145    151    158    164    171
##   [29,]    121    121    121    121    127    132    135    143    152    160
##   [30,]    121    121    121    121    121    123    122    127    139    148
##   [31,]    121    121    121    121    121    121    121    121    129    137
##   [32,]    121    121    121    121    121    121    121    124    124    126
##   [33,]    121    121    121    121    121    121    121    121    121    121
##   [34,]    121    121    121    121    121    121    121    121    121    121
##   [35,]    121    121    121    121    121    121    121    121    121    121
##   [36,]    121    121    121    121    121    121    121    121    121    121
##   [37,]    121    121    121    121    121    121    121    121    121    121
##   [38,]    121    121    121    121    121    121    121    121    121    121
##   [39,]    121    121    121    121    121    121    121    121    121    121
##   [40,]    121    121    121    121    121    121    121    121    121    121
##   [41,]    121    121    121    121    121    121    121    121    121    121
##   [42,]    121    121    129    121    126    121    121    121    121    121
##   [43,]    131    145    156    171    158    131    121    121    121    121
##   [44,]    155    165    182    181    183    161    148    121    131    121
##   [45,]    178    176    182    186    183    182    182    182    152    145
##   [46,]    192    182    188    188    184    183    182    182    182    182
##   [47,]    205    201    198    192    185    183    182    182    182    182
##   [48,]    224    214    207    194    184    183    182    182    182    182
##   [49,]    243    229    221    194    184    182    182    182    182    182
##   [50,]    243    243    243    223    189    182    182    182    182    182
##   [51,]    243    243    243    243    202    182    182    182    182    182
##   [52,]    243    243    243    236    192    186    182    182    182    180
##   [53,]    243    243    243    231    204    182    198    195    188    182
##   [54,]    247    249    247    236    220    221    219    214    208    196
##   [55,]    256    265    267    251    243    243    243    232    227    221
##   [56,]    264    277    284    279    274    264    252    243    240    237
##   [57,]    282    297    303    304    304    295    280    265    248    244
##   [58,]    304    299    304    304    304    304    304    289    256    247
##   [59,]    284    291    291    284    274    274    289    278    253    246
##   [60,]    274    267    261    243    248    244    243    243    243    246
##   [61,]    265    260    252    245    243    244    240    233    230    217
##   [62,]    258    253    249    247    246    243    235    223    206    185
##   [63,]    247    247    248    249    249    246    244    235    210    186
##   [64,]    238    243    248    253    252    249    246    243    215    196
##   [65,]    235    243    256    268    263    255    247    243    226    209
##   [66,]    236    243    278    304    283    264    248    243    237    230
##   [67,]    243    261    290    299    304    270    243    243    243    243
##   [68,]    249    263    293    304    304    287    286    282    289    280
##   [69,]    243    259    293    304    304    304    304    304    303    304
##   [70,]    235    258    286    299    304    304    304    304    304    294
##   [71,]    235    255    277    285    289    297    304    304    304    304
##   [72,]    242    257    267    273    275    278    285    294    302    304
##   [73,]    243    250    256    258    259    258    261    270    285    298
##   [74,]    243    243    246    246    246    244    243    250    266    280
##   [75,]    243    243    243    243    243    242    242    242    249    264
##   [76,]    243    243    243    243    243    242    240    240    243    253
##   [77,]    243    243    243    243    243    241    238    232    234    240
##   [78,]    243    243    243    243    243    240    235    223    222    229
##   [79,]    243    243    243    243    243    237    228    205    207    217
##   [80,]    243    243    243    243    243    243    227    194    182    199
##   [81,]    238    243    243    243    243    243    243    197    182    182
##   [82,]    221    243    243    243    243    243    243    203    182    182
##   [83,]    199    224    238    243    243    243    243    213    182    182
##         [,948] [,949] [,950] [,951] [,952] [,953] [,954] [,955] [,956] [,957]
##    [1,]    133    125    117    109    104     99     97     98    100    102
##    [2,]    140    132    124    116    111    106    103    102    102    103
##    [3,]    145    137    129    122    115    109    105    104    104    104
##    [4,]    143    134    128    122    117    111    108    107    107    107
##    [5,]    147    136    128    122    117    113    111    110    111    111
##    [6,]    148    137    129    123    119    116    115    114    115    116
##    [7,]    145    135    128    123    121    120    119    118    119    124
##    [8,]    143    133    126    123    121    121    121    123    125    133
##    [9,]    138    128    124    122    121    121    123    131    131    144
##   [10,]    135    128    124    122    121    121    131    143    157    162
##   [11,]    137    131    124    122    121    121    142    162    170    175
##   [12,]    147    135    121    122    121    121    162    182    178    183
##   [13,]    164    152    140    125    134    156    182    180    182    186
##   [14,]    182    170    158    148    154    170    173    182    182    190
##   [15,]    196    182    176    169    171    177    179    180    182    195
##   [16,]    209    182    182    185    178    182    181    181    182    196
##   [17,]    234    213    206    204    202    196    193    187    182    204
##   [18,]    237    240    240    235    243    227    223    210    210    220
##   [19,]    219    231    241    243    242    245    244    235    231    235
##   [20,]    195    217    235    243    243    253    250    243    243    243
##   [21,]    195    215    236    255    272    286    269    252    243    244
##   [22,]    223    243    250    274    304    297    304    283    264    245
##   [23,]    243    238    250    274    286    304    302    304    271    248
##   [24,]    220    234    244    263    276    301    293    279    258    242
##   [25,]    207    215    228    243    243    243    270    263    250    236
##   [26,]    195    201    208    217    234    248    246    249    247    244
##   [27,]    182    186    188    182    203    226    243    245    244    244
##   [28,]    177    182    183    183    182    201    223    243    243    243
##   [29,]    168    179    182    180    181    182    200    221    243    243
##   [30,]    157    170    182    177    177    179    182    192    228    243
##   [31,]    146    159    166    173    173    177    182    191    213    243
##   [32,]    134    146    152    155    161    168    176    182    209    243
##   [33,]    121    132    137    138    148    159    170    179    196    232
##   [34,]    121    123    121    121    137    155    169    182    193    206
##   [35,]    121    121    121    121    121    145    165    182    183    186
##   [36,]    121    121    121    121    121    141    162    182    182    182
##   [37,]    121    121    121    121    121    141    162    182    182    182
##   [38,]    121    121    121    121    121    141    161    182    182    182
##   [39,]    121    121    121    121    126    138    156    182    182    182
##   [40,]    121    121    121    121    121    121    140    172    182    182
##   [41,]    121    121    121    121    121    121    121    149    174    182
##   [42,]    121    121    121    121    121    121    121    129    151    165
##   [43,]    121    121    121    121    121    121    121    121    136    147
##   [44,]    121    121    121    121    121    121    121    121    121    124
##   [45,]    121    121    121    121    121    121    121    121    121    121
##   [46,]    150    121    121    121    121    121    121    121    121    121
##   [47,]    175    143    121    121    121    121    121    121    121    121
##   [48,]    182    173    141    121    121    121    121    121    121    121
##   [49,]    182    182    153    121    121    121    121    121    121    121
##   [50,]    179    173    155    136    121    121    121    121    121    121
##   [51,]    174    161    148    133    121    121    121    121    121    121
##   [52,]    169    163    150    130    124    121    129    127    121    121
##   [53,]    180    182    167    149    144    145    150    156    133    121
##   [54,]    186    181    182    161    158    161    168    182    144    130
##   [55,]    205    187    178    177    178    177    180    156    148    140
##   [56,]    218    206    197    189    183    182    182    161    152    146
##   [57,]    237    223    210    198    183    183    182    166    160    155
##   [58,]    244    243    228    213    198    182    182    172    168    164
##   [59,]    244    243    243    236    216    194    182    179    177    174
##   [60,]    244    244    243    243    235    199    182    182    182    181
##   [61,]    244    243    243    243    225    193    184    183    183    182
##   [62,]    182    182    243    202    182    184    183    182    183    182
##   [63,]    183    199    187    183    185    183    183    183    182    182
##   [64,]    182    182    186    182    182    183    182    182    182    182
##   [65,]    207    192    182    188    182    182    182    182    182    182
##   [66,]    234    219    212    202    194    184    182    182    182    182
##   [67,]    245    243    229    218    207    190    182    182    182    182
##   [68,]    259    248    244    237    224    210    187    182    182    182
##   [69,]    270    250    243    243    243    231    198    182    182    182
##   [70,]    253    243    245    243    244    239    206    182    182    182
##   [71,]    304    304    274    262    247    243    214    182    182    182
##   [72,]    304    304    304    282    254    239    223    195    182    193
##   [73,]    304    304    304    294    275    243    243    224    216    211
##   [74,]    290    299    304    304    299    279    258    246    230    229
##   [75,]    274    284    294    304    304    304    273    254    243    240
##   [76,]    263    274    283    292    304    281    273    253    243    242
##   [77,]    248    258    265    272    271    263    250    242    242    240
##   [78,]    237    243    247    250    247    243    242    234    233    230
##   [79,]    227    239    243    244    244    241    235    227    220    214
##   [80,]    213    231    243    243    243    239    230    221    210    201
##   [81,]    192    229    243    243    243    240    230    217    205    194
##   [82,]    182    243    237    242    243    243    236    217    201    189
##   [83,]    192    213    243    242    243    243    232    211    188    181
##         [,958] [,959] [,960] [,961] [,962] [,963] [,964] [,965] [,966] [,967]
##    [1,]    105    108    110    111    113    117    122    129    138    147
##    [2,]    105    106    107    108    111    115    122    131    141    150
##    [3,]    105    105    105    107    110    115    122    134    146    150
##    [4,]    108    108    107    108    111    115    121    129    138    145
##    [5,]    112    111    110    111    113    116    120    125    131    137
##    [6,]    116    115    114    115    116    118    120    122    126    130
##    [7,]    125    123    120    119    119    120    121    121    122    124
##    [8,]    134    132    126    124    124    124    123    122    121    121
##    [9,]    145    142    133    132    134    131    127    124    122    121
##   [10,]    161    156    148    144    147    141    133    127    123    121
##   [11,]    175    171    165    160    161    151    140    130    125    123
##   [12,]    186    182    182    177    176    166    144    131    132    126
##   [13,]    198    200    200    194    188    177    166    153    142    137
##   [14,]    214    218    219    210    203    191    181    173    162    152
##   [15,]    236    237    237    225    217    205    194    186    177    167
##   [16,]    229    243    243    236    229    219    207    195    188    181
##   [17,]    238    242    243    242    239    232    221    210    202    196
##   [18,]    243    243    242    243    243    240    232    224    217    211
##   [19,]    242    243    243    243    243    243    241    236    231    225
##   [20,]    243    242    243    243    243    243    243    242    241    236
##   [21,]    243    243    243    243    243    241    242    243    243    242
##   [22,]    243    241    243    243    243    235    239    243    243    243
##   [23,]    239    235    236    243    216    220    232    243    243    243
##   [24,]    233    223    215    202    192    189    213    229    243    236
##   [25,]    229    215    199    182    188    183    192    211    216    218
##   [26,]    238    217    195    185    183    183    182    189    199    201
##   [27,]    243    223    182    184    182    183    182    182    182    187
##   [28,]    243    243    182    182    183    182    182    182    182    182
##   [29,]    243    243    202    182    183    183    182    182    182    182
##   [30,]    243    233    196    186    184    182    182    182    182    182
##   [31,]    243    243    223    182    183    183    182    182    182    182
##   [32,]    243    243    243    208    182    183    182    182    182    182
##   [33,]    243    243    243    220    184    182    182    182    182    182
##   [34,]    218    243    243    243    182    182    181    181    181    181
##   [35,]    187    182    213    208    191    182    181    181    181    181
##   [36,]    183    182    182    182    182    180    180    180    181    181
##   [37,]    182    181    179    179    176    177    178    179    180    181
##   [38,]    182    177    173    171    171    174    176    178    180    181
##   [39,]    182    173    165    164    167    170    174    177    180    182
##   [40,]    182    168    156    158    161    166    171    176    182    182
##   [41,]    182    161    145    144    147    156    167    173    182    182
##   [42,]    182    154    134    121    133    141    155    163    171    178
##   [43,]    142    142    121    123    121    131    142    151    162    168
##   [44,]    126    122    123    122    122    121    131    140    154    162
##   [45,]    121    121    121    121    121    121    121    129    146    156
##   [46,]    121    121    121    121    121    121    121    132    145    157
##   [47,]    121    121    121    121    121    121    121    155    165    168
##   [48,]    121    121    121    121    133    152    172    180    182    182
##   [49,]    121    121    121    121    152    182    178    182    181    182
##   [50,]    121    121    121    121    151    182    182    182    182    182
##   [51,]    121    121    121    121    150    182    182    182    182    182
##   [52,]    121    121    121    121    145    165    182    182    182    182
##   [53,]    121    121    121    121    135    162    174    178    181    182
##   [54,]    121    121    121    121    121    163    175    177    179    182
##   [55,]    132    125    121    121    142    168    177    179    180    182
##   [56,]    141    135    132    135    167    177    180    180    181    182
##   [57,]    151    147    146    147    172    179    181    181    182    182
##   [58,]    162    159    160    160    176    180    181    182    182    182
##   [59,]    173    172    175    171    178    180    181    182    182    182
##   [60,]    180    180    181    182    179    180    181    182    182    182
##   [61,]    182    182    182    182    182    182    182    182    187    182
##   [62,]    182    182    182    183    182    182    182    182    200    199
##   [63,]    182    182    182    186    185    182    182    182    212    213
##   [64,]    182    185    190    194    197    190    182    199    235    236
##   [65,]    182    190    204    214    222    218    215    222    237    243
##   [66,]    182    205    226    237    243    245    238    235    239    243
##   [67,]    197    215    243    241    250    253    253    243    243    243
##   [68,]    197    218    238    243    257    269    280    286    279    274
##   [69,]    195    215    234    243    263    281    304    301    304    304
##   [70,]    196    217    235    243    260    276    291    304    304    304
##   [71,]    201    225    243    251    260    272    286    304    304    304
##   [72,]    208    234    242    252    260    266    277    293    304    303
##   [73,]    221    236    243    248    252    255    264    277    287    299
##   [74,]    227    238    243    243    245    243    253    267    280    290
##   [75,]    238    241    243    243    243    237    241    249    266    284
##   [76,]    242    243    243    243    243    225    232    240    243    274
##   [77,]    241    243    243    223    191    206    222    240    249    264
##   [78,]    230    243    202    182    189    182    213    243    249    255
##   [79,]    206    191    183    185    183    182    190    222    243    244
##   [80,]    187    179    178    179    180    181    182    198    222    222
##   [81,]    179    170    173    175    177    180    182    197    205    201
##   [82,]    176    163    166    169    173    177    180    184    187    182
##   [83,]    166    155    158    162    168    175    180    182    182    184
##         [,968] [,969] [,970] [,971] [,972] [,973] [,974] [,975] [,976] [,977]
##    [1,]    156    164    169    173    175    176    178    179    180    182
##    [2,]    157    163    167    170    172    173    174    175    177    180
##    [3,]    156    159    162    164    166    167    168    169    172    176
##    [4,]    150    152    153    155    156    158    159    159    163    169
##    [5,]    141    143    144    145    146    148    149    149    154    162
##    [6,]    132    134    135    136    137    139    139    141    147    156
##    [7,]    125    126    127    128    129    130    131    134    143    153
##    [8,]    122    122    123    123    124    124    126    131    141    152
##    [9,]    121    121    121    121    121    121    123    128    138    150
##   [10,]    121    121    121    121    121    121    122    127    137    148
##   [11,]    122    121    121    121    121    121    121    125    134    145
##   [12,]    124    123    122    121    121    121    121    123    131    144
##   [13,]    132    127    124    123    122    121    121    121    127    140
##   [14,]    143    134    133    128    125    123    122    121    124    134
##   [15,]    160    156    145    139    131    128    124    123    122    130
##   [16,]    175    172    162    154    147    135    132    128    125    133
##   [17,]    189    184    174    168    164    156    145    138    134    143
##   [18,]    202    193    185    180    178    172    160    151    146    153
##   [19,]    217    203    195    191    188    183    172    163    159    162
##   [20,]    229    219    209    203    199    193    183    175    170    169
##   [21,]    238    232    223    216    211    204    194    187    179    176
##   [22,]    243    243    238    230    225    216    207    199    185    181
##   [23,]    243    243    243    243    243    232    223    217    204    182
##   [24,]    231    234    241    243    243    243    238    236    233    221
##   [25,]    216    219    227    243    243    243    243    243    243    243
##   [26,]    202    203    208    210    218    228    236    241    243    243
##   [27,]    188    185    182    182    195    207    218    229    239    243
##   [28,]    183    183    182    182    182    188    206    219    236    243
##   [29,]    182    182    182    182    182    191    195    208    226    243
##   [30,]    182    182    182    182    182    188    192    201    216    233
##   [31,]    182    182    182    182    182    182    182    188    200    226
##   [32,]    182    182    182    182    182    182    182    186    196    217
##   [33,]    182    182    182    182    182    182    182    182    187    211
##   [34,]    181    182    182    182    182    182    182    182    182    209
##   [35,]    181    181    182    182    182    182    182    186    209    225
##   [36,]    181    182    182    182    182    187    189    201    221    237
##   [37,]    182    182    183    185    188    194    200    215    231    243
##   [38,]    182    182    184    188    193    203    212    226    243    241
##   [39,]    182    182    185    191    198    208    221    232    243    243
##   [40,]    182    182    188    191    195    211    232    243    241    242
##   [41,]    182    182    182    182    182    207    243    243    242    243
##   [42,]    180    181    181    182    182    182    193    208    213    223
##   [43,]    175    179    181    182    182    182    182    182    182    182
##   [44,]    171    178    180    182    182    182    182    182    182    187
##   [45,]    168    177    181    182    182    182    182    182    182    182
##   [46,]    171    181    183    183    182    182    182    182    182    182
##   [47,]    178    183    188    189    188    182    188    190    182    182
##   [48,]    182    186    193    199    201    202    210    214    208    202
##   [49,]    182    188    200    210    217    221    230    243    230    221
##   [50,]    182    191    210    224    236    235    240    240    243    232
##   [51,]    182    182    226    243    239    243    242    243    243    243
##   [52,]    182    213    243    239    242    242    243    243    245    247
##   [53,]    190    212    243    243    243    243    241    243    248    255
##   [54,]    192    209    222    243    210    182    220    243    252    269
##   [55,]    182    189    204    200    197    182    190    224    243    265
##   [56,]    182    182    182    187    182    184    182    208    226    243
##   [57,]    182    182    182    182    183    182    182    201    212    222
##   [58,]    182    182    182    182    182    182    182    191    197    202
##   [59,]    182    182    182    182    182    182    182    182    184    185
##   [60,]    182    182    182    182    182    182    182    182    182    182
##   [61,]    182    182    182    182    182    182    182    182    182    182
##   [62,]    195    189    182    182    182    182    182    182    182    182
##   [63,]    209    202    192    182    182    182    182    182    182    182
##   [64,]    227    223    210    200    189    182    182    182    182    182
##   [65,]    243    243    228    214    200    185    182    182    182    182
##   [66,]    256    255    248    236    221    208    199    193    192    187
##   [67,]    272    274    265    255    238    229    222    219    223    210
##   [68,]    295    297    285    279    265    253    240    240    242    235
##   [69,]    304    304    304    304    304    304    279    250    243    243
##   [70,]    304    304    304    304    304    304    304    266    248    244
##   [71,]    304    304    304    304    304    304    277    263    243    245
##   [72,]    304    304    304    304    304    280    268    243    250    243
##   [73,]    303    304    304    304    295    270    256    251    245    244
##   [74,]    301    304    304    304    277    259    251    247    245    245
##   [75,]    302    303    304    285    259    251    249    246    245    244
##   [76,]    288    304    282    274    249    243    245    245    243    243
##   [77,]    273    275    268    257    246    243    243    243    238    242
##   [78,]    256    259    256    249    245    243    243    228    232    241
##   [79,]    241    246    248    246    235    223    218    216    224    243
##   [80,]    228    234    243    244    215    197    182    182    205    228
##   [81,]    206    212    217    216    192    186    184    182    194    218
##   [82,]    187    188    182    186    190    183    182    191    202    218
##   [83,]    182    184    182    183    182    185    182    197    211    222
##         [,978] [,979] [,980] [,981] [,982] [,983] [,984] [,985] [,986] [,987]
##    [1,]    185    188    191    193    194    194    193    193    193    193
##    [2,]    183    187    190    192    192    191    190    190    191    191
##    [3,]    180    184    188    190    190    188    187    188    190    190
##    [4,]    175    180    184    186    186    185    185    185    187    187
##    [5,]    169    176    181    183    183    183    183    183    184    185
##    [6,]    165    173    179    182    182    182    183    183    184    185
##    [7,]    164    173    179    182    182    182    184    185    187    189
##    [8,]    163    172    178    181    182    183    186    189    193    196
##    [9,]    162    171    177    181    182    184    189    195    201    205
##   [10,]    160    170    177    180    182    186    194    202    211    213
##   [11,]    157    167    176    180    183    188    199    210    220    221
##   [12,]    157    169    176    180    183    188    195    205    223    231
##   [13,]    153    166    175    180    182    184    187    193    192    200
##   [14,]    147    160    172    179    182    182    183    184    187    187
##   [15,]    143    157    170    178    181    182    182    182    182    182
##   [16,]    146    158    169    177    181    182    182    182    182    182
##   [17,]    154    164    172    178    180    182    182    182    182    182
##   [18,]    162    170    175    179    181    182    182    182    182    182
##   [19,]    168    173    177    180    182    182    182    182    182    182
##   [20,]    172    175    178    181    182    182    182    182    182    182
##   [21,]    177    178    179    182    182    183    182    182    182    182
##   [22,]    181    181    181    182    183    184    182    182    182    182
##   [23,]    188    182    182    182    187    188    182    182    182    182
##   [24,]    209    207    197    198    198    201    195    192    191    187
##   [25,]    231    229    217    224    220    218    211    212    210    204
##   [26,]    243    243    237    238    235    237    227    227    228    227
##   [27,]    243    243    243    243    243    243    243    240    243    243
##   [28,]    243    243    243    243    243    243    243    243    242    243
##   [29,]    243    243    243    243    243    243    243    243    243    243
##   [30,]    243    243    243    243    243    243    243    243    243    243
##   [31,]    239    243    243    243    243    243    243    243    243    243
##   [32,]    231    239    243    243    243    243    243    243    243    243
##   [33,]    229    242    242    243    243    243    243    243    243    243
##   [34,]    232    243    243    243    243    243    243    243    243    243
##   [35,]    238    241    242    243    243    243    243    243    243    243
##   [36,]    239    239    243    243    243    243    243    243    243    243
##   [37,]    242    243    243    243    243    243    243    243    243    243
##   [38,]    243    243    243    243    243    243    243    243    243    243
##   [39,]    242    243    243    244    245    243    243    243    243    243
##   [40,]    243    243    243    245    250    249    245    243    243    243
##   [41,]    241    243    243    247    258    259    252    243    243    243
##   [42,]    235    243    243    258    288    289    271    249    243    243
##   [43,]    222    243    239    274    304    304    304    262    243    243
##   [44,]    201    212    226    240    274    284    269    257    250    245
##   [45,]    182    197    210    234    243    243    249    247    245    245
##   [46,]    182    182    190    216    239    242    243    243    243    243
##   [47,]    182    182    182    203    234    238    241    242    243    243
##   [48,]    196    191    192    224    234    237    240    242    242    243
##   [49,]    216    214    214    228    234    237    239    242    242    243
##   [50,]    229    228    226    231    235    238    241    243    243    251
##   [51,]    244    243    239    236    238    242    243    243    243    260
##   [52,]    248    243    243    242    242    243    245    244    243    294
##   [53,]    265    267    248    243    243    250    249    247    269    296
##   [54,]    289    304    276    243    267    261    255    249    257    263
##   [55,]    292    302    304    304    294    270    257    249    244    238
##   [56,]    262    276    304    304    281    273    253    243    228    224
##   [57,]    231    238    257    255    261    250    226    212    208    206
##   [58,]    201    215    218    223    243    205    182    182    191    189
##   [59,]    183    190    188    184    182    182    188    183    182    182
##   [60,]    182    183    182    182    183    182    182    183    182    182
##   [61,]    182    182    182    182    182    182    182    182    182    182
##   [62,]    182    182    182    182    182    182    182    182    182    182
##   [63,]    182    182    182    182    182    182    182    182    182    182
##   [64,]    182    182    182    182    182    182    182    182    182    197
##   [65,]    182    182    182    182    182    182    182    182    182    199
##   [66,]    182    182    182    182    182    182    182    182    182    192
##   [67,]    198    182    182    182    182    182    182    182    182    182
##   [68,]    231    197    182    182    182    182    182    182    182    182
##   [69,]    227    216    204    200    202    198    196    186    182    182
##   [70,]    239    231    218    218    222    214    211    203    202    202
##   [71,]    243    242    237    239    243    236    231    227    233    233
##   [72,]    244    243    243    244    243    243    243    242    255    263
##   [73,]    243    243    247    250    252    251    251    262    281    293
##   [74,]    243    243    251    258    266    272    275    287    304    300
##   [75,]    243    243    255    268    284    296    298    301    302    304
##   [76,]    243    243    255    274    304    301    304    304    303    304
##   [77,]    243    243    243    252    259    285    289    288    296    296
##   [78,]    243    243    243    243    243    243    243    252    277    277
##   [79,]    243    243    243    243    243    243    243    248    261    264
##   [80,]    243    243    243    243    243    243    243    251    251    251
##   [81,]    239    243    243    243    243    243    243    243    246    246
##   [82,]    234    243    243    243    243    243    243    243    243    243
##   [83,]    239    242    243    243    243    243    243    243    243    243
##         [,988] [,989] [,990] [,991] [,992] [,993] [,994] [,995] [,996] [,997]
##    [1,]    192    191    191    191    191    190    189    190    196    206
##    [2,]    190    188    187    187    187    188    188    192    206    230
##    [3,]    188    186    185    185    185    187    188    196    221    260
##    [4,]    185    184    183    183    184    186    187    195    220    259
##    [5,]    184    183    182    182    184    186    188    197    221    254
##    [6,]    185    184    183    183    186    189    193    197    211    220
##    [7,]    189    187    186    186    189    195    201    205    210    217
##    [8,]    196    192    190    191    196    204    211    215    218    221
##    [9,]    206    200    196    197    204    213    220    225    227    229
##   [10,]    215    208    201    203    212    220    227    232    235    236
##   [11,]    223    213    204    206    214    223    231    236    239    240
##   [12,]    223    207    199    201    208    220    231    237    241    242
##   [13,]    208    197    192    193    199    210    222    233    239    242
##   [14,]    192    189    185    185    190    201    214    228    237    241
##   [15,]    184    183    182    182    183    192    208    225    236    240
##   [16,]    182    182    182    182    182    185    195    214    228    237
##   [17,]    182    182    182    182    183    183    187    199    218    231
##   [18,]    182    182    183    186    188    186    185    199    217    230
##   [19,]    182    183    189    196    200    192    198    208    219    230
##   [20,]    182    187    198    208    213    213    218    223    229    236
##   [21,]    183    194    210    221    228    232    239    240    240    241
##   [22,]    182    193    226    241    243    248    258    258    250    243
##   [23,]    182    182    224    243    242    259    273    274    266    254
##   [24,]    182    197    228    240    254    272    288    289    284    273
##   [25,]    205    218    243    259    274    288    304    304    302    291
##   [26,]    230    242    254    273    289    297    298    304    304    304
##   [27,]    243    252    273    296    302    304    303    303    298    304
##   [28,]    243    251    275    286    304    304    304    304    283    289
##   [29,]    243    248    262    270    276    281    274    250    268    278
##   [30,]    243    243    246    248    243    243    249    244    257    268
##   [31,]    243    243    243    243    244    243    243    247    247    258
##   [32,]    243    243    243    243    243    246    243    252    245    243
##   [33,]    243    246    249    254    260    259    243    260    245    244
##   [34,]    246    254    267    280    304    304    304    268    245    244
##   [35,]    247    257    266    277    295    304    304    270    244    243
##   [36,]    243    243    255    260    274    275    272    253    243    243
##   [37,]    243    243    243    243    259    255    254    243    243    243
##   [38,]    243    243    243    243    243    243    243    243    243    243
##   [39,]    243    243    243    243    243    243    243    243    243    243
##   [40,]    243    243    243    243    243    243    243    243    243    243
##   [41,]    243    243    243    243    243    243    243    243    243    243
##   [42,]    243    243    243    243    243    243    243    243    243    243
##   [43,]    243    243    243    243    243    243    243    243    243    243
##   [44,]    243    243    243    243    243    243    243    243    243    243
##   [45,]    243    243    243    243    243    243    243    243    243    243
##   [46,]    243    244    244    244    243    243    243    243    243    243
##   [47,]    243    245    245    245    243    243    243    243    243    243
##   [48,]    243    245    246    246    243    243    243    243    243    243
##   [49,]    248    251    252    251    248    243    243    243    252    270
##   [50,]    263    267    265    262    259    252    243    267    272    282
##   [51,]    293    294    285    279    274    275    276    294    297    299
##   [52,]    304    304    304    295    291    293    304    301    304    304
##   [53,]    294    291    291    291    290    294    297    297    293    278
##   [54,]    267    260    267    273    275    277    275    274    266    256
##   [55,]    237    240    249    254    257    258    257    254    248    244
##   [56,]    220    225    232    243    243    243    243    243    232    236
##   [57,]    201    206    209    216    221    221    228    223    223    229
##   [58,]    182    187    182    195    200    200    205    202    210    217
##   [59,]    184    182    184    182    188    185    182    182    194    204
##   [60,]    182    182    182    182    182    183    183    182    182    188
##   [61,]    182    182    182    182    182    182    182    182    190    199
##   [62,]    182    182    182    182    189    190    191    200    202    210
##   [63,]    193    202    202    209    211    213    212    215    217    221
##   [64,]    210    232    233    235    235    236    228    229    230    230
##   [65,]    216    227    243    243    243    243    243    243    243    239
##   [66,]    205    216    228    239    243    243    243    243    243    243
##   [67,]    192    202    217    228    238    243    243    243    243    243
##   [68,]    182    187    207    220    232    242    243    243    243    260
##   [69,]    182    200    205    217    234    243    243    256    269    278
##   [70,]    209    210    219    222    233    241    243    272    289    304
##   [71,]    235    235    236    234    238    254    273    294    302    302
##   [72,]    263    259    252    243    250    271    286    292    304    303
##   [73,]    294    283    277    270    271    280    289    296    300    304
##   [74,]    304    304    304    289    289    293    295    299    304    302
##   [75,]    304    304    304    303    301    304    304    304    304    304
##   [76,]    304    304    304    304    304    304    304    304    304    304
##   [77,]    297    301    304    298    302    304    304    304    304    304
##   [78,]    281    287    284    284    293    301    304    304    304    304
##   [79,]    266    269    273    275    287    298    302    304    304    304
##   [80,]    251    251    255    260    281    301    303    304    304    304
##   [81,]    246    246    243    244    263    286    304    304    304    304
##   [82,]    243    243    243    243    248    268    281    296    304    287
##   [83,]    243    243    243    242    243    255    259    269    269    263
##         [,998] [,999] [,1000] [,1001] [,1002] [,1003] [,1004] [,1005] [,1006]
##    [1,]    205    196     192     185     184     185     189     193     196
##    [2,]    240    229     218     208     202     199     200     200     200
##    [3,]    268    257     244     232     220     214     212     210     209
##    [4,]    273    265     253     242     232     228     224     222     219
##    [5,]    263    259     256     248     240     237     234     231     227
##    [6,]    230    243     246     243     241     241     238     235     230
##    [7,]    223    230     237     236     236     236     234     232     228
##    [8,]    224    228     230     232     232     231     229     227     224
##    [9,]    230    232     233     233     232     230     226     222     219
##   [10,]    237    238     238     238     236     231     225     219     214
##   [11,]    241    242     242     241     238     230     221     214     209
##   [12,]    243    243     243     243     239     226     214     208     209
##   [13,]    243    243     243     243     240     229     223     219     220
##   [14,]    243    243     243     243     243     238     233     230     230
##   [15,]    242    243     243     243     243     243     241     238     239
##   [16,]    241    243     243     243     243     243     243     243     243
##   [17,]    239    242     243     243     243     243     244     246     245
##   [18,]    238    242     243     243     243     245     251     253     249
##   [19,]    239    242     243     243     244     251     261     266     255
##   [20,]    241    243     243     243     246     261     276     281     273
##   [21,]    242    242     243     243     248     274     286     293     290
##   [22,]    243    243     243     243     243     261     282     297     303
##   [23,]    243    243     243     243     243     249     270     287     300
##   [24,]    261    249     243     243     243     243     260     286     304
##   [25,]    280    267     256     243     243     243     260     287     297
##   [26,]    292    278     269     268     271     280     285     298     300
##   [27,]    302    296     290     291     300     304     302     303     304
##   [28,]    296    298     300     301     303     303     304     304     304
##   [29,]    285    292     299     302     304     304     304     304     304
##   [30,]    279    288     299     304     304     304     304     304     304
##   [31,]    270    280     296     304     304     304     304     304     304
##   [32,]    255    260     274     290     304     304     304     304     304
##   [33,]    243    243     251     271     290     304     293     288     293
##   [34,]    243    243     243     253     266     270     267     256     243
##   [35,]    243    243     243     243     249     252     243     243     182
##   [36,]    243    243     243     243     243     229     182     190     204
##   [37,]    243    243     243     243     243     217     202     182     182
##   [38,]    243    243     243     243     243     224     213     210     200
##   [39,]    243    243     243     243     243     234     228     229     225
##   [40,]    243    253     274     256     249     243     242     252     249
##   [41,]    243    243     304     295     279     272     280     280     278
##   [42,]    246    274     297     304     304     300     303     304     310
##   [43,]    252    274     291     302     304     304     304     304     311
##   [44,]    256    276     299     303     303     304     304     294     288
##   [45,]    243    276     292     304     304     304     304     274     243
##   [46,]    243    272     295     304     304     304     304     275     243
##   [47,]    243    294     302     303     304     304     304     284     253
##   [48,]    275    304     304     304     303     304     304     304     268
##   [49,]    284    300     304     304     304     304     304     287     269
##   [50,]    292    304     302     304     304     304     304     294     270
##   [51,]    302    295     302     300     302     304     304     295     276
##   [52,]    281    285     289     289     291     291     285     278     265
##   [53,]    263    267     276     275     277     274     268     258     247
##   [54,]    243    252     264     263     263     263     259     243     244
##   [55,]    244    243     255     260     263     267     271     270     244
##   [56,]    239    242     249     264     273     282     293     304     267
##   [57,]    235    239     247     264     276     288     304     300     300
##   [58,]    226    238     245     258     271     286     299     304     304
##   [59,]    217    233     243     252     261     280     291     299     304
##   [60,]    208    227     239     243     248     274     287     297     303
##   [61,]    203    223     239     243     256     270     284     297     303
##   [62,]    217    228     241     243     253     269     285     301     304
##   [63,]    226    233     239     242     243     268     286     296     304
##   [64,]    232    236     242     249     262     274     288     301     304
##   [65,]    239    240     243     262     275     288     304     303     303
##   [66,]    247    251     265     274     285     299     304     304     304
##   [67,]    258    270     286     288     294     304     304     304     304
##   [68,]    267    283     304     297     299     304     306     305     304
##   [69,]    288    295     313     320     318     314     311     306     304
##   [70,]    304    304     345     365     350     339     325     312     304
##   [71,]    304    316     351     362     365     359     339     319     307
##   [72,]    304    320     339     365     365     347     341     319     304
##   [73,]    304    309     314     328     334     331     326     315     305
##   [74,]    304    304     304     304     315     314     320     319     311
##   [75,]    304    304     304     304     304     307     334     328     321
##   [76,]    304    304     304     304     304     304     365     346     340
##   [77,]    304    304     304     304     304     304     348     365     365
##   [78,]    304    304     304     304     303     304     330     352     340
##   [79,]    304    304     304     304     301     302     304     320     322
##   [80,]    304    304     298     297     296     299     310     310     310
##   [81,]    295    289     282     281     280     286     300     308     309
##   [82,]    279    273     266     260     253     267     285     304     305
##   [83,]    262    259     253     243     246     243     267     288     304
##         [,1007] [,1008] [,1009] [,1010] [,1011] [,1012] [,1013] [,1014] [,1015]
##    [1,]     199     200     200     199     207     198     179     159     142
##    [2,]     201     202     204     211     229     221     197     168     146
##    [3,]     206     205     207     219     238     224     193     161     136
##    [4,]     214     211     210     219     239     227     197     166     142
##    [5,]     220     215     211     207     218     203     179     156     137
##    [6,]     222     214     206     196     174     154     142     133     126
##    [7,]     221     213     204     187     163     145     134     128     123
##    [8,]     218     211     199     182     157     140     131     126     123
##    [9,]     214     208     198     183     160     144     136     131     127
##   [10,]     209     205     201     190     168     153     146     140     134
##   [11,]     207     208     212     206     189     173     161     152     144
##   [12,]     212     218     226     225     211     197     179     166     156
##   [13,]     221     232     235     235     219     201     183     172     165
##   [14,]     232     237     239     229     214     198     188     179     174
##   [15,]     240     241     238     221     202     193     187     183     181
##   [16,]     243     241     231     214     198     189     186     185     185
##   [17,]     244     240     227     205     197     192     193     193     196
##   [18,]     246     243     232     219     207     203     206     209     206
##   [19,]     252     246     240     231     226     220     223     233     226
##   [20,]     262     257     251     244     242     239     240     242     239
##   [21,]     281     275     264     254     258     259     255     252     249
##   [22,]     299     296     284     274     275     279     268     261     256
##   [23,]     304     304     302     296     296     304     278     269     263
##   [24,]     303     304     304     302     304     304     283     276     269
##   [25,]     302     303     304     304     304     291     287     281     275
##   [26,]     301     302     304     304     304     299     293     285     274
##   [27,]     304     304     304     304     304     304     301     289     274
##   [28,]     304     304     304     304     304     304     304     291     271
##   [29,]     304     304     304     304     304     304     304     281     258
##   [30,]     304     304     303     304     304     304     276     263     239
##   [31,]     304     299     295     297     291     273     253     236     203
##   [32,]     304     293     280     277     268     258     243     218     184
##   [33,]     304     263     262     258     260     253     243     228     195
##   [34,]     243     213     243     243     249     247     246     244     222
##   [35,]     232     216     182     182     243     243     243     244     237
##   [36,]     209     204     187     183     183     182     203     230     238
##   [37,]     195     190     184     184     183     181     181     192     225
##   [38,]     192     187     183     183     182     180     178     179     191
##   [39,]     216     205     189     182     182     178     174     170     164
##   [40,]     237     226     204     189     182     175     168     158     144
##   [41,]     293     253     224     205     182     177     167     153     138
##   [42,]     316     287     253     233     201     182     174     161     149
##   [43,]     307     304     273     243     208     190     182     172     165
##   [44,]     301     304     270     243     202     182     186     181     178
##   [45,]     268     275     260     238     182     184     183     188     201
##   [46,]     248     253     243     215     182     182     182     203     243
##   [47,]     243     245     230     206     182     182     182     213     241
##   [48,]     239     216     202     182     191     183     200     223     243
##   [49,]     236     210     182     184     183     184     208     241     241
##   [50,]     250     225     200     182     182     182     182     243     243
##   [51,]     254     243     210     182     182     182     182     192     223
##   [52,]     249     228     216     203     182     182     182     182     182
##   [53,]     245     233     224     220     205     189     182     182     182
##   [54,]     244     243     241     243     224     205     182     182     182
##   [55,]     243     251     243     248     243     223     191     182     182
##   [56,]     270     279     293     268     244     238     211     197     206
##   [57,]     295     304     299     304     274     243     228     226     228
##   [58,]     304     303     304     303     304     275     247     238     240
##   [59,]     304     304     304     305     304     284     260     243     262
##   [60,]     304     304     304     308     309     302     282     281     287
##   [61,]     304     304     308     313     316     315     304     298     322
##   [62,]     304     306     313     319     326     334     338     335     355
##   [63,]     304     308     315     324     333     350     365     363     365
##   [64,]     304     307     308     320     332     356     364     365     364
##   [65,]     304     304     304     304     318     340     365     347     352
##   [66,]     304     304     304     304     304     324     325     328     321
##   [67,]     304     304     304     304     304     305     305     304     304
##   [68,]     304     304     304     303     304     304     304     305     304
##   [69,]     304     304     303     303     303     304     304     311     327
##   [70,]     304     304     302     301     302     304     314     328     350
##   [71,]     304     302     298     293     297     304     317     330     346
##   [72,]     301     295     286     277     283     296     304     308     304
##   [73,]     297     283     266     252     267     284     294     302     305
##   [74,]     304     274     243     248     251     273     287     300     304
##   [75,]     309     294     256     243     245     263     285     304     303
##   [76,]     318     304     277     243     243     243     270     296     304
##   [77,]     325     304     284     243     243     243     243     278     304
##   [78,]     328     315     304     258     243     243     249     267     287
##   [79,]     321     313     304     274     243     243     252     266     283
##   [80,]     311     309     304     275     243     243     243     250     280
##   [81,]     306     306     304     280     252     243     243     243     274
##   [82,]     305     305     304     277     243     243     243     258     277
##   [83,]     304     304     304     287     243     243     243     243     274
##         [,1016] [,1017] [,1018] [,1019] [,1020] [,1021] [,1022] [,1023] [,1024]
##    [1,]     127     116     109     108     109     112     116     120     124
##    [2,]     129     117     108     106     107     110     114     118     123
##    [3,]     121     112     107     105     106     108     113     118     121
##    [4,]     125     114     107     105     105     107     111     115     117
##    [5,]     123     113     108     106     105     106     108     110     111
##    [6,]     119     113     109     107     106     105     105     105     104
##    [7,]     118     114     111     109     107     105     103     100      96
##    [8,]     120     117     113     111     109     107     104      97      91
##    [9,]     124     120     117     115     113     112     107      97      88
##   [10,]     130     125     122     120     119     117     111     101      89
##   [11,]     139     132     126     123     121     120     115     105      94
##   [12,]     148     139     132     127     123     121     119     111      99
##   [13,]     160     152     142     132     126     122     119     109      99
##   [14,]     171     166     155     142     131     124     120     110      99
##   [15,]     180     176     166     150     135     127     125     114     103
##   [16,]     184     182     170     149     135     132     139     129     117
##   [17,]     189     184     174     160     141     149     165     160     141
##   [18,]     195     188     181     173     167     174     178     179     170
##   [19,]     210     197     191     188     187     186     189     188     184
##   [20,]     226     216     206     205     205     199     198     193     188
##   [21,]     241     233     225     224     220     212     205     194     190
##   [22,]     249     243     243     243     234     225     214     208     196
##   [23,]     255     249     246     244     243     239     232     234     219
##   [24,]     260     253     249     245     243     242     242     243     243
##   [25,]     265     256     251     246     243     240     240     243     243
##   [26,]     264     257     252     247     243     231     220     243     243
##   [27,]     263     256     251     245     238     216     188     199     228
##   [28,]     259     254     249     246     243     214     182     183     182
##   [29,]     253     251     248     245     244     236     185     179     179
##   [30,]     243     246     246     245     243     182     186     176     174
##   [31,]     186     213     244     232     212     199     181     173     170
##   [32,]     183     185     182     206     195     181     173     168     164
##   [33,]     183     182     183     182     182     180     169     162     156
##   [34,]     190     182     182     182     182     176     165     157     149
##   [35,]     207     196     182     182     182     174     161     151     141
##   [36,]     218     218     216     201     186     176     163     151     138
##   [37,]     224     243     243     227     194     184     173     157     143
##   [38,]     195     199     213     213     187     183     174     161     148
##   [39,]     159     142     121     152     152     158     157     149     144
##   [40,]     128     123     125     122     121     130     133     133     132
##   [41,]     121     121     122     121     122     122     121     121     123
##   [42,]     142     130     121     121     121     124     129     125     121
##   [43,]     164     159     140     121     121     131     141     135     126
##   [44,]     182     182     161     148     121     149     154     144     128
##   [45,]     209     200     192     186     164     167     143     152     126
##   [46,]     243     226     216     205     196     182     121     159     121
##   [47,]     242     243     237     225     219     179     156     175     172
##   [48,]     243     243     243     243     243     215     207     198     182
##   [49,]     243     243     243     243     243     243     227     213     201
##   [50,]     243     243     243     243     243     243     236     226     212
##   [51,]     236     243     243     243     243     246     245     238     226
##   [52,]     202     224     238     243     243     251     255     250     243
##   [53,]     182     211     234     243     245     256     264     258     250
##   [54,]     204     217     238     250     262     276     290     276     263
##   [55,]     206     225     243     261     285     304     302     304     284
##   [56,]     217     231     240     267     299     309     315     313     308
##   [57,]     232     243     262     291     311     321     329     329     321
##   [58,]     250     262     275     297     326     339     352     353     339
##   [59,]     269     281     292     314     340     365     362     365     365
##   [60,]     289     298     312     332     352     361     364     364     365
##   [61,]     302     304     333     356     365     363     365     364     365
##   [62,]     335     355     355     361     364     365     365     365     365
##   [63,]     360     365     365     365     365     364     365     365     365
##   [64,]     365     364     365     365     365     365     365     365     365
##   [65,]     351     358     365     365     365     365     365     365     365
##   [66,]     323     329     345     365     365     365     365     365     365
##   [67,]     304     304     333     359     364     365     365     365     365
##   [68,]     317     326     345     365     365     364     365     365     371
##   [69,]     339     347     361     364     364     365     365     370     379
##   [70,]     365     365     364     365     365     365     365     374     386
##   [71,]     359     365     364     365     365     365     365     364     377
##   [72,]     325     342     359     365     365     365     365     361     363
##   [73,]     304     329     356     364     365     365     357     351     354
##   [74,]     319     329     356     365     365     365     340     321     339
##   [75,]     319     336     357     365     365     365     333     304     318
##   [76,]     320     339     362     365     365     351     328     304     309
##   [77,]     316     352     365     365     337     324     304     313     305
##   [78,]     304     334     346     332     314     306     307     305     304
##   [79,]     304     318     319     312     304     304     305     304     300
##   [80,]     301     304     308     305     305     304     304     304     293
##   [81,]     304     304     304     304     305     304     304     304     286
##   [82,]     304     304     304     304     304     304     304     297     275
##   [83,]     288     304     304     304     304     304     304     277     256
##         [,1025] [,1026] [,1027] [,1028] [,1029] [,1030] [,1031] [,1032] [,1033]
##    [1,]     127     129     132     135     137     138     137     133     126
##    [2,]     126     128     132     137     139     140     139     136     130
##    [3,]     124     126     131     135     139     141     140     137     131
##    [4,]     119     120     125     130     135     137     137     136     131
##    [5,]     112     112     116     122     128     132     133     132     128
##    [6,]     102     102     106     113     119     125     127     127     126
##    [7,]      93      92      96     102     109     117     122     124     124
##    [8,]      85      83      85      91     100     109     116     120     121
##    [9,]      80      75      75      81      91     102     109     114     117
##   [10,]      79      72      69      74      85      92      98     105     110
##   [11,]      82      72      66      67      75      81      87      94     101
##   [12,]      86      73      66      63      65      70      71      81      91
##   [13,]      88      77      67      63      62      62      62      70      73
##   [14,]      89      77      68      63      61      60      60      62      62
##   [15,]      91      76      71      65      62      61      60      60      60
##   [16,]     105      94      82      71      66      63      61      60      60
##   [17,]     126     115     106      89      74      70      64      62      61
##   [18,]     159     140     131     117      98      83      71      68      65
##   [19,]     172     173     156     140     124     107      91      76      76
##   [20,]     183     178     167     151     136     121     108      96      92
##   [21,]     184     180     170     157     142     131     121     111     113
##   [22,]     182     182     176     170     149     121     131     121     121
##   [23,]     203     191     189     185     171     152     162     152     172
##   [24,]     222     212     209     200     190     185     183     183     182
##   [25,]     238     228     226     217     200     189     185     183     182
##   [26,]     243     243     243     233     206     190     185     183     183
##   [27,]     243     243     243     234     204     185     183     182     182
##   [28,]     213     243     243     211     182     185     183     183     182
##   [29,]     180     181     194     194     188     184     183     182     182
##   [30,]     174     176     179     182     183     183     183     182     182
##   [31,]     170     172     174     178     182     182     182     182     182
##   [32,]     164     165     167     171     178     182     182     182     182
##   [33,]     158     158     159     165     173     182     182     182     179
##   [34,]     146     144     144     152     162     169     172     165     167
##   [35,]     130     121     121     136     148     154     153     150     152
##   [36,]     126     122     122     124     135     138     137     137     136
##   [37,]     133     127     121     121     121     121     121     125     121
##   [38,]     137     128     121     121     121     121     121     121     122
##   [39,]     136     128     121     121     121     121     121     121     121
##   [40,]     129     125     123     121     121     121     121     121     121
##   [41,]     123     123     122     122     121     121     121     121     121
##   [42,]     121     122     122     121     121     121     121     121     121
##   [43,]     123     122     121     121     121     121     121     121     121
##   [44,]     124     122     121     121     121     121     121     121     121
##   [45,]     122     122     121     121     121     121     121     121     121
##   [46,]     121     121     121     121     121     121     121     121     121
##   [47,]     148     130     121     121     121     121     121     121     123
##   [48,]     182     162     128     121     121     121     121     126     143
##   [49,]     189     173     130     121     121     121     121     126     167
##   [50,]     198     172     121     121     121     121     121     151     181
##   [51,]     211     189     155     121     121     121     121     149     174
##   [52,]     229     204     182     182     121     121     121     145     167
##   [53,]     243     217     203     191     182     121     158     154     167
##   [54,]     249     237     224     217     209     195     187     177     174
##   [55,]     266     248     243     243     243     226     211     195     181
##   [56,]     294     292     290     263     251     245     235     207     182
##   [57,]     313     304     287     276     261     249     244     227     196
##   [58,]     325     307     294     279     263     246     244     225     208
##   [59,]     344     321     304     284     266     243     243     231     219
##   [60,]     356     329     310     299     279     267     252     239     237
##   [61,]     361     340     321     304     294     288     281     265     257
##   [62,]     365     349     330     304     304     304     304     282     270
##   [63,]     365     365     355     349     325     323     317     303     288
##   [64,]     366     366     365     366     365     346     338     322     304
##   [65,]     367     369     368     368     366     361     359     343     322
##   [66,]     369     372     372     372     370     366     365     365     338
##   [67,]     371     377     378     378     377     366     365     354     344
##   [68,]     379     387     391     395     399     381     365     359     350
##   [69,]     396     408     412     420     426     406     378     366     361
##   [70,]     414     426     423     420     426     426     384     367     366
##   [71,]     409     426     418     410     407     398     378     364     365
##   [72,]     385     385     392     380     365     373     359     349     353
##   [73,]     365     365     372     365     363     365     345     333     331
##   [74,]     365     365     365     349     336     333     325     310     306
##   [75,]     365     365     365     334     304     313     308     309     304
##   [76,]     352     365     352     330     304     304     304     304     304
##   [77,]     325     329     332     316     304     302     302     303     304
##   [78,]     310     311     308     300     297     299     301     303     304
##   [79,]     300     304     292     287     291     295     299     302     304
##   [80,]     289     282     277     275     280     289     297     301     304
##   [81,]     275     266     262     263     271     284     296     301     303
##   [82,]     259     249     248     253     265     282     297     302     303
##   [83,]     243     246     243     243     263     285     301     303     304
##         [,1034] [,1035] [,1036] [,1037] [,1038] [,1039] [,1040] [,1041] [,1042]
##    [1,]     117     106      95      82      71      61      53      48      45
##    [2,]     121     111      99      86      75      65      57      53      51
##    [3,]     122     110      97      85      75      66      60      57      56
##    [4,]     121     108      95      84      74      66      61      58      57
##    [5,]     120     109      97      85      75      67      62      59      57
##    [6,]     120     110      98      86      76      68      63      59      57
##    [7,]     119     110      99      88      78      70      63      59      57
##    [8,]     119     113     104      93      81      71      64      60      58
##    [9,]     118     115     106      95      83      73      65      60      58
##   [10,]     115     116     109      98      85      74      65      60      58
##   [11,]     109     115     108      97      84      73      65      60      58
##   [12,]     105     109     108      92      76      67      62      60      59
##   [13,]      80      90      77      67      68      63      60      59      59
##   [14,]      66      67      69      64      62      60      59      59      59
##   [15,]      60      63      62      61      60      60      60      60      60
##   [16,]      60      61      61      61      60      62      62      62      60
##   [17,]      62      64      64      63      64      73      72      74      75
##   [18,]      72      76      74      70      77      87      92      94      89
##   [19,]      86      92      93      99     103     114     119     120     115
##   [20,]     106     111     115     124     136     144     146     147     155
##   [21,]     123     131     139     150     162     173     174     174     182
##   [22,]     150     150     157     166     182     179     182     182     182
##   [23,]     174     169     165     169     182     182     182     182     182
##   [24,]     175     176     162     158     165     182     182     182     182
##   [25,]     182     160     143     131     134     153     174     182     182
##   [26,]     182     146     121     125     122     121     149     182     182
##   [27,]     168     136     123     122     122     121     121     152     162
##   [28,]     182     158     121     121     121     121     121     121     121
##   [29,]     182     182     121     121     121     121     121     121     121
##   [30,]     182     174     158     137     121     121     121     121     121
##   [31,]     182     182     182     182     152     121     121     121     121
##   [32,]     182     182     182     182     182     171     146     128     122
##   [33,]     182     182     182     182     182     182     163     137     123
##   [34,]     172     182     182     182     182     182     169     136     122
##   [35,]     159     172     182     177     182     182     182     141     121
##   [36,]     143     155     155     158     168     172     160     143     129
##   [37,]     126     138     138     136     150     152     148     141     129
##   [38,]     121     123     124     121     135     136     136     133     128
##   [39,]     121     121     121     121     121     125     126     127     125
##   [40,]     121     121     121     121     121     121     123     124     123
##   [41,]     121     121     121     121     121     121     121     122     122
##   [42,]     121     121     121     121     121     121     121     121     121
##   [43,]     121     121     121     121     121     121     121     121     121
##   [44,]     121     121     121     121     121     121     121     121     121
##   [45,]     121     121     121     121     121     121     121     121     121
##   [46,]     121     121     121     121     121     121     121     121     121
##   [47,]     133     135     131     131     126     121     121     121     121
##   [48,]     162     163     158     162     149     137     121     121     121
##   [49,]     180     182     179     182     174     170     141     127     121
##   [50,]     182     181     183     185     186     186     168     148     142
##   [51,]     182     182     184     187     191     191     182     170     161
##   [52,]     182     182     186     192     200     206     198     188     177
##   [53,]     177     182     188     197     209     224     217     206     193
##   [54,]     178     181     186     202     220     239     237     225     210
##   [55,]     180     181     182     194     224     243     242     243     225
##   [56,]     182     181     182     182     235     241     243     243     239
##   [57,]     182     182     182     182     243     242     243     243     243
##   [58,]     196     182     182     182     219     243     243     243     243
##   [59,]     211     198     182     215     243     240     244     241     240
##   [60,]     235     220     224     228     243     243     245     239     236
##   [61,]     249     243     238     243     245     246     246     241     235
##   [62,]     261     252     243     255     251     250     249     247     243
##   [63,]     278     271     269     270     264     261     259     257     249
##   [64,]     294     291     285     284     279     277     276     275     269
##   [65,]     310     304     300     296     294     297     297     297     295
##   [66,]     320     304     304     304     304     305     307     306     306
##   [67,]     332     321     310     304     304     310     311     309     308
##   [68,]     344     335     325     315     311     315     315     313     310
##   [69,]     360     350     340     329     327     323     321     317     313
##   [70,]     365     365     355     345     340     334     333     327     320
##   [71,]     365     365     365     355     350     346     347     338     329
##   [72,]     365     365     365     365     362     362     369     358     344
##   [73,]     348     365     365     365     365     384     396     388     365
##   [74,]     315     339     358     365     383     400     426     426     410
##   [75,]     304     316     338     360     375     398     412     426     426
##   [76,]     304     304     325     351     365     390     402     411     419
##   [77,]     304     304     324     350     365     384     392     398     405
##   [78,]     304     321     336     361     371     377     381     382     387
##   [79,]     304     319     335     357     364     367     368     365     365
##   [80,]     304     309     321     338     353     355     352     354     356
##   [81,]     304     304     304     319     323     324     321     326     331
##   [82,]     304     304     304     304     304     304     304     304     304
##   [83,]     304     304     304     304     304     304     304     304     309
##         [,1043] [,1044] [,1045] [,1046] [,1047] [,1048] [,1049] [,1050] [,1051]
##    [1,]      43      42      42      43      45      48      51      56      60
##    [2,]      50      49      49      51      52      54      57      61      65
##    [3,]      55      55      55      57      58      59      62      66      69
##    [4,]      57      56      56      58      59      60      63      67      69
##    [5,]      57      56      57      58      59      60      62      66      67
##    [6,]      57      56      57      58      59      60      61      64      65
##    [7,]      57      57      58      58      59      60      60      61      62
##    [8,]      58      58      58      59      59      60      60      60      61
##    [9,]      58      59      59      59      59      60      60      60      60
##   [10,]      58      59      59      59      60      60      60      60      60
##   [11,]      58      59      59      59      60      60      60      60      60
##   [12,]      59      59      59      59      60      60      60      60      60
##   [13,]      59      59      59      59      60      60      60      60      60
##   [14,]      59      60      60      60      60      60      60      60      60
##   [15,]      60      60      60      60      60      60      60      60      60
##   [16,]      60      69      64      60      60      60      60      60      60
##   [17,]      84      97      84      69      60      60      60      60      60
##   [18,]     103     121      99      78      60      60      60      60      60
##   [19,]     124     124     121      97      71      60      60      60      60
##   [20,]     144     143     132     121      96      60      60      60      60
##   [21,]     174     172     154     129     121      87      60      60      60
##   [22,]     182     182     182     121     113      93      60      60      60
##   [23,]     182     182     168     145     126     110      66      60      60
##   [24,]     182     175     156     132     121     106      84      60      60
##   [25,]     182     176     146     127     122     109      77      60      60
##   [26,]     182     157     145     131     124     121      75      60      61
##   [27,]     154     146     140     129     121     104      60      67      62
##   [28,]     121     121     127     121     107      81      62      61      62
##   [29,]     121     121     121     117     102      80      60      62      61
##   [30,]     121     121     121     114     105      87      69      60      60
##   [31,]     121     121     121     116     111      94      73      60      60
##   [32,]     121     121     121     121     121     105      80      67      60
##   [33,]     121     121     121     121     121     106      90      81      72
##   [34,]     122     121     121     121     121     110     102      96      90
##   [35,]     121     121     121     121     121     120     116     113     111
##   [36,]     121     121     121     121     121     121     121     119     119
##   [37,]     121     121     121     121     121     121     121     121     121
##   [38,]     121     121     121     121     121     121     121     121     121
##   [39,]     121     121     121     121     121     121     121     121     121
##   [40,]     121     121     121     121     121     121     121     121     121
##   [41,]     121     121     121     121     121     121     121     121     121
##   [42,]     121     121     121     121     121     121     121     121     121
##   [43,]     121     121     121     121     121     121     121     121     121
##   [44,]     121     121     121     121     121     121     121     121     121
##   [45,]     121     121     121     121     121     121     121     121     121
##   [46,]     121     121     121     121     121     121     121     121     121
##   [47,]     121     121     123     122     121     121     121     121     121
##   [48,]     121     121     126     125     123     121     121     121     121
##   [49,]     121     131     130     127     124     122     121     121     121
##   [50,]     142     138     136     131     125     122     121     121     121
##   [51,]     156     150     144     137     127     123     121     121     121
##   [52,]     169     160     153     144     127     122     122     121     121
##   [53,]     182     171     164     155     121     123     121     121     121
##   [54,]     200     188     180     183     167     137     122     121     121
##   [55,]     217     206     199     188     183     182     182     131     121
##   [56,]     237     225     209     192     183     182     163     148     129
##   [57,]     243     243     205     182     183     182     165     151     142
##   [58,]     243     230     199     182     182     182     168     157     149
##   [59,]     240     243     199     182     182     182     174     167     163
##   [60,]     235     243     198     182     182     182     182     180     178
##   [61,]     232     195     182     183     183     182     182     182     182
##   [62,]     224     219     193     182     182     182     182     182     182
##   [63,]     238     232     224     197     182     182     182     182     192
##   [64,]     259     243     245     223     201     182     182     182     221
##   [65,]     292     278     257     243     224     210     202     219     241
##   [66,]     305     304     272     243     243     238     235     243     241
##   [67,]     306     305     288     243     243     243     242     241     245
##   [68,]     307     305     277     262     243     243     243     243     248
##   [69,]     309     297     281     272     258     243     243     243     262
##   [70,]     313     301     291     287     276     270     260     269     289
##   [71,]     319     308     301     299     298     304     295     294     301
##   [72,]     331     311     304     304     310     310     306     303     304
##   [73,]     350     328     304     323     324     324     316     308     304
##   [74,]     380     350     342     344     339     338     326     308     305
##   [75,]     426     377     365     365     361     365     338     305     304
##   [76,]     416     414     411     391     381     379     372     337     315
##   [77,]     413     425     426     426     412     408     401     374     348
##   [78,]     397     415     426     428     431     427     426     412     377
##   [79,]     385     404     415     426     427     428     426     426     411
##   [80,]     371     393     403     414     426     426     426     426     426
##   [81,]     357     375     382     387     396     381     381     406     381
##   [82,]     341     365     366     365     366     365     365     372     371
##   [83,]     318     342     356     360     363     365     365     367     368
##         [,1052] [,1053] [,1054] [,1055] [,1056] [,1057] [,1058] [,1059] [,1060]
##    [1,]      62      63      62      60      58      55      52      49      46
##    [2,]      67      66      64      61      58      55      52      50      47
##    [3,]      69      68      65      62      58      55      53      51      48
##    [4,]      69      68      65      62      60      57      54      53      50
##    [5,]      67      66      64      62      61      59      56      55      52
##    [6,]      64      64      63      61      60      59      58      57      55
##    [7,]      62      62      61      61      60      60      60      59      59
##    [8,]      61      61      61      61      60      60      60      60      60
##    [9,]      60      60      60      60      60      60      60      60      60
##   [10,]      60      60      60      60      60      60      60      60      60
##   [11,]      60      60      60      60      60      60      60      60      60
##   [12,]      60      60      60      60      60      60      60      60      61
##   [13,]      60      60      60      60      60      60      60      60      62
##   [14,]      60      60      60      60      60      60      60      60      63
##   [15,]      60      60      60      60      60      60      60      60      65
##   [16,]      60      60      60      60      60      60      60      60      68
##   [17,]      60      60      60      60      60      60      60      60      66
##   [18,]      60      60      60      60      60      60      60      60      60
##   [19,]      60      60      60      60      60      60      60      60      60
##   [20,]      60      60      60      60      60      60      60      60      60
##   [21,]      60      60      60      60      60      60      60      60      60
##   [22,]      60      60      60      60      60      60      60      60      60
##   [23,]      60      60      60      60      60      69      67      60      60
##   [24,]      60      60      60      60      77      88      94      85      70
##   [25,]      60      60      60      63      85     106     121     104      89
##   [26,]      61      60      60      60      94     114     119     121     113
##   [27,]      61      60      60      60      93     109     115     121     111
##   [28,]      62      61      60      65      96     111     118     119     118
##   [29,]      60      61      60      70      99     113     121     121     121
##   [30,]      60      60      60      82     115     132     140     140     149
##   [31,]      60      60      73     109     121     162     182     182     182
##   [32,]      60      67      92     121     150     182     179     182     182
##   [33,]      60      82     103     121     154     182     182     182     170
##   [34,]      97     100     120     143     164     178     181     182     182
##   [35,]     110     113     130     153     182     179     182     182     182
##   [36,]     118     118     129     149     162     182     182     182     182
##   [37,]     121     121     123     129     144     156     170     182     182
##   [38,]     121     121     121     121     121     136     152     156     178
##   [39,]     121     121     121     121     121     121     129     130     153
##   [40,]     121     121     121     121     121     121     121     121     129
##   [41,]     121     121     121     121     121     121     121     121     121
##   [42,]     121     121     121     121     121     121     121     121     121
##   [43,]     121     121     121     121     121     121     121     121     121
##   [44,]     121     121     121     121     121     121     121     121     121
##   [45,]     121     121     121     121     121     121     121     121     121
##   [46,]     121     121     121     121     121     121     121     121     121
##   [47,]     121     121     121     121     121     121     121     121     121
##   [48,]     121     121     121     121     121     121     121     121     121
##   [49,]     121     121     121     121     121     121     121     121     121
##   [50,]     121     121     121     121     121     121     121     121     121
##   [51,]     121     121     121     121     121     121     121     121     121
##   [52,]     121     121     121     121     121     121     121     121     121
##   [53,]     121     121     121     121     121     121     121     121     121
##   [54,]     121     121     121     121     125     126     124     122     121
##   [55,]     121     121     121     133     134     135     131     124     121
##   [56,]     121     121     135     145     146     148     141     127     121
##   [57,]     128     139     146     160     171     182     163     140     121
##   [58,]     145     148     160     170     182     179     182     153     138
##   [59,]     163     168     172     182     184     184     176     170     170
##   [60,]     182     178     178     182     192     196     188     182     182
##   [61,]     184     185     181     191     203     214     225     203     186
##   [62,]     189     196     203     208     220     231     243     215     182
##   [63,]     202     213     220     227     233     240     242     222     202
##   [64,]     232     231     235     238     240     241     242     233     206
##   [65,]     243     243     243     243     242     242     240     243     207
##   [66,]     245     243     243     243     243     243     207     182     182
##   [67,]     247     244     243     240     228     192     186     189     182
##   [68,]     255     243     243     231     211     182     185     183     183
##   [69,]     276     265     248     243     213     195     182     180     171
##   [70,]     302     292     261     243     217     185     182     175     163
##   [71,]     303     304     270     243     219     193     182     182     169
##   [72,]     303     294     253     242     228     218     214     206     195
##   [73,]     304     304     243     243     242     241     243     243     226
##   [74,]     296     275     243     243     243     267     289     269     256
##   [75,]     294     278     264     243     284     304     297     304     304
##   [76,]     309     297     282     291     300     303     304     284     255
##   [77,]     332     317     304     301     295     275     243     243     243
##   [78,]     357     342     327     311     291     259     248     244     243
##   [79,]     380     365     350     333     311     283     254     244     244
##   [80,]     384     372     365     347     316     292     282     263     243
##   [81,]     375     371     368     366     345     318     309     294     276
##   [82,]     368     367     366     366     365     349     332     313     304
##   [83,]     367     366     366     365     365     365     356     326     309
##         [,1061] [,1062] [,1063] [,1064] [,1065] [,1066] [,1067] [,1068] [,1069]
##    [1,]      43      41      39      37      37      36      36      36      37
##    [2,]      44      42      40      39      39      39      39      39      39
##    [3,]      45      43      42      41      41      42      42      41      40
##    [4,]      47      46      46      45      45      46      44      43      43
##    [5,]      50      50      50      49      48      49      47      47      47
##    [6,]      54      55      54      52      51      52      51      50      50
##    [7,]      59      59      58      56      55      55      54      53      54
##    [8,]      60      60      60      59      58      57      57      57      57
##    [9,]      60      60      60      60      60      60      59      60      60
##   [10,]      60      61      61      60      60      60      60      60      60
##   [11,]      61      62      63      61      61      61      61      61      61
##   [12,]      62      66      69      64      65      63      64      64      63
##   [13,]      65      73      79      72      68      66      67      66      66
##   [14,]      68      80      86      76      70      67      68      68      68
##   [15,]      75      93      98      80      72      69      71      71      71
##   [16,]      83     111     107      82      73      71      74      74      74
##   [17,]      88     121     118      83      73      73      77      77      79
##   [18,]      60     105      94      81      74      75      80      83      89
##   [19,]      60      65      81      70      67      74      82      90     103
##   [20,]      60      60      60      62      60      60      77      90     112
##   [21,]      60      60      60      60      60      63      64      76      94
##   [22,]      60      60      60      60      60      60      60      66      87
##   [23,]      60      60      60      60      60      60      60      60      79
##   [24,]      60      60      60      60      60      60      60      60      68
##   [25,]      72      60      60      60      60      60      60      60      60
##   [26,]      92      72      60      60      60      60      60      60      60
##   [27,]     101      78      60      60      60      60      60      60      60
##   [28,]     115      99      84      68      60      60      60      60      68
##   [29,]     122     121     106      91      76      60      60      60      75
##   [30,]     135     122     121     114      99      88      68      66      84
##   [31,]     151     128     122     121     121     121      89      86      95
##   [32,]     159     129     122     121     121     121     102      99     104
##   [33,]     142     121     121     121     121     121     111     112     114
##   [34,]     177     155     140     127     121     121     120     121     121
##   [35,]     182     182     167     143     123     121     121     123     123
##   [36,]     182     182     182     152     121     123     121     129     128
##   [37,]     182     182     182     175     147     121     139     143     137
##   [38,]     182     182     182     182     167     170     172     163     148
##   [39,]     175     182     182     182     182     182     180     182     156
##   [40,]     152     165     182     182     182     182     182     160     150
##   [41,]     129     133     147     163     172     174     166     146     135
##   [42,]     121     121     121     137     147     149     145     131     125
##   [43,]     121     121     121     121     128     129     129     122     121
##   [44,]     121     121     121     121     121     122     123     121     118
##   [45,]     121     121     121     121     121     121     121     118     115
##   [46,]     121     121     121     121     121     121     121     115     110
##   [47,]     121     121     121     121     121     121     117     111     106
##   [48,]     121     121     121     121     121     121     115     107     100
##   [49,]     121     121     121     121     121     121     112     103      95
##   [50,]     121     121     121     121     121     121     111     102      93
##   [51,]     121     121     121     121     121     121     111     103      94
##   [52,]     121     121     121     121     121     121     112     105      98
##   [53,]     121     121     121     121     121     121     113     108     104
##   [54,]     121     121     121     121     121     121     116     113     112
##   [55,]     121     121     121     121     121     121     121     120     121
##   [56,]     121     121     121     121     121     121     121     121     124
##   [57,]     121     121     121     141     158     136     135     134     130
##   [58,]     121     121     145     156     182     170     167     159     140
##   [59,]     151     140     153     166     176     182     182     182     158
##   [60,]     182     173     169     168     178     181     182     182     163
##   [61,]     182     181     176     171     166     167     162     170     165
##   [62,]     183     178     171     164     150     134     121     141     145
##   [63,]     188     183     178     167     146     121     123     122     121
##   [64,]     194     187     183     182     153     121     121     121     121
##   [65,]     193     185     183     174     145     132     124     121     121
##   [66,]     182     179     171     161     142     134     128     124     121
##   [67,]     182     172     164     155     143     134     128     123     121
##   [68,]     175     161     151     141     133     126     123     122     121
##   [69,]     162     147     135     126     121     123     122     121     121
##   [70,]     151     128     123     122     122     121     122     121     121
##   [71,]     162     151     121     121     121     121     132     129     126
##   [72,]     191     186     171     167     179     170     151     139     131
##   [73,]     216     204     191     181     182     182     167     149     133
##   [74,]     237     223     203     185     182     179     169     153     137
##   [75,]     259     243     196     184     182     182     175     155     138
##   [76,]     259     243     205     182     183     182     182     151     132
##   [77,]     243     243     216     182     183     163     153     131     125
##   [78,]     243     243     221     182     183     165     146     121     121
##   [79,]     243     243     201     187     184     171     160     149     144
##   [80,]     243     228     198     188     184     183     179     175     174
##   [81,]     255     243     213     196     194     198     193     188     183
##   [82,]     270     243     229     227     230     243     225     204     186
##   [83,]     294     260     242     238     241     242     243     218     190
##         [,1070] [,1071] [,1072] [,1073] [,1074] [,1075] [,1076] [,1077] [,1078]
##    [1,]      37      38      38      38      38      37      37      36      36
##    [2,]      39      38      38      38      38      38      38      38      38
##    [3,]      40      39      39      39      39      39      39      39      39
##    [4,]      42      42      42      42      42      42      42      41      41
##    [5,]      46      46      45      45      45      45      44      43      43
##    [6,]      49      49      48      48      48      47      47      45      45
##    [7,]      53      51      50      51      51      50      49      47      47
##    [8,]      56      54      53      53      53      53      51      49      48
##    [9,]      59      57      56      56      56      55      53      50      50
##   [10,]      60      59      59      59      59      58      55      52      51
##   [11,]      61      60      60      61      60      59      57      54      53
##   [12,]      62      60      62      62      61      60      59      55      53
##   [13,]      65      65      64      63      62      61      59      56      55
##   [14,]      68      69      67      66      64      63      61      58      57
##   [15,]      72      72      71      69      67      65      62      60      58
##   [16,]      76      76      75      73      71      68      62      60      60
##   [17,]      83      85      83      80      78      74      66      60      60
##   [18,]      97     103      96      92      88      81      71      68      65
##   [19,]     116     121     110     104     100      92      78      75      73
##   [20,]     121     115     115     115     113     103      85      81      79
##   [21,]     106     113     117     121     121     107      92      88      83
##   [22,]      94     103     111     115     119     107      98      94      89
##   [23,]      87      97     107     113     118     110     103      99      95
##   [24,]      78      90     102     111     118     117     110     105     101
##   [25,]      69      87     103     113     121     121     117     111     107
##   [26,]      60      89     116     117     119     121     121     119     116
##   [27,]      82      95     121     121     121     121     121     121     121
##   [28,]      86     104     117     121     121     121     121     121     121
##   [29,]      93     107     114     117     120     121     121     121     121
##   [30,]      99     110     115     117     118     120     121     121     121
##   [31,]     104     111     114     116     118     120     121     121     121
##   [32,]     107     111     113     115     118     120     121     121     121
##   [33,]     113     113     114     116     118     120     121     121     121
##   [34,]     118     117     117     117     119     121     121     121     121
##   [35,]     121     120     120     119     120     121     121     121     121
##   [36,]     124     121     121     121     121     121     121     121     121
##   [37,]     130     124     121     121     121     121     121     121     121
##   [38,]     135     126     123     121     121     121     121     121     121
##   [39,]     137     124     121     121     121     121     121     121     121
##   [40,]     134     127     122     121     121     121     121     121     121
##   [41,]     127     124     122     122     121     121     121     121     121
##   [42,]     123     122     122     121     121     121     121     121     121
##   [43,]     121     121     121     121     121     121     121     121     121
##   [44,]     117     118     121     121     121     121     121     121     121
##   [45,]     114     114     117     121     121     121     121     121     121
##   [46,]     108     106     107     114     121     121     121     121     121
##   [47,]     101      98      96      98     102     111     121     111     121
##   [48,]      94      88      82      80      80      81      80      76      72
##   [49,]      87      78      68      60      60      60      60      63      60
##   [50,]      84      75      63      61      60      60      60      60      60
##   [51,]      87      80      70      60      60      60      60      60      60
##   [52,]      93      88      78      71      68      67      66      64      62
##   [53,]     101      96      86      78      75      73      71      69      66
##   [54,]     111     103      92      82      79      77      74      72      69
##   [55,]     121     112      99      88      86      83      79      76      72
##   [56,]     122     121     107      95      92      88      85      81      75
##   [57,]     125     122     110     101      98      94      90      86      80
##   [58,]     130     121     111     107     104     100      96      92      85
##   [59,]     140     127     117     114     110     106     102      97      91
##   [60,]     151     139     121     121     117     112     107     103      96
##   [61,]     160     160     169     147     127     119     113     110     102
##   [62,]     158     171     182     182     141     128     121     121     110
##   [63,]     132     160     170     145     137     128     123     122     119
##   [64,]     121     129     142     141     133     125     121     121     121
##   [65,]     121     121     128     130     128     121     121     121     121
##   [66,]     121     121     121     122     122     122     121     121     121
##   [67,]     121     121     121     121     121     121     121     121     121
##   [68,]     121     121     121     121     121     121     121     121     121
##   [69,]     121     121     121     121     121     121     121     121     121
##   [70,]     122     121     121     121     121     121     121     121     121
##   [71,]     122     121     121     121     121     121     121     121     121
##   [72,]     123     121     121     121     121     121     121     121     121
##   [73,]     122     121     121     121     121     121     121     121     121
##   [74,]     125     121     121     121     121     121     121     121     121
##   [75,]     124     122     121     121     124     122     122     121     120
##   [76,]     122     121     121     130     126     123     122     121     120
##   [77,]     122     140     154     139     129     124     122     120     119
##   [78,]     152     182     182     145     128     121     122     120     119
##   [79,]     172     182     165     131     124     123     122     119     118
##   [80,]     175     155     142     121     122     123     122     121     121
##   [81,]     169     144     121     126     123     121     134     133     130
##   [82,]     166     149     135     121     121     151     172     160     148
##   [83,]     172     159     145     140     153     172     196     189     174
##         [,1079] [,1080] [,1081] [,1082] [,1083] [,1084] [,1085] [,1086] [,1087]
##    [1,]      36      36      36      35      35      36      38      41      44
##    [2,]      38      39      39      40      41      42      44      46      48
##    [3,]      41      43      43      44      45      47      48      50      51
##    [4,]      43      44      45      45      47      49      50      51      52
##    [5,]      45      46      46      47      48      50      51      52      53
##    [6,]      46      48      48      48      49      51      52      53      54
##    [7,]      48      49      49      49      50      52      53      53      54
##    [8,]      49      50      51      50      51      52      53      54      55
##    [9,]      51      51      52      52      52      53      54      55      56
##   [10,]      52      53      53      53      53      54      55      56      57
##   [11,]      53      54      54      54      54      55      56      57      58
##   [12,]      54      55      55      55      55      56      57      58      58
##   [13,]      56      56      56      56      56      57      58      58      59
##   [14,]      57      57      58      57      57      58      59      59      59
##   [15,]      58      58      59      58      58      59      59      59      59
##   [16,]      60      60      60      59      59      59      59      59      60
##   [17,]      60      62      62      61      60      60      60      60      60
##   [18,]      67      66      65      62      60      60      60      60      60
##   [19,]      72      70      68      64      61      60      60      60      60
##   [20,]      78      75      72      67      63      61      60      60      60
##   [21,]      81      78      75      70      66      64      61      60      60
##   [22,]      87      83      80      74      69      66      63      61      61
##   [23,]      92      88      84      78      72      68      65      62      60
##   [24,]      97      93      88      81      75      70      65      61      61
##   [25,]     104     100      91      83      78      72      66      62      60
##   [26,]     116     109      98      89      82      74      67      60      60
##   [27,]     121     121     106      97      89      79      70      60      60
##   [28,]     121     119     116     114     102      89      77      66      60
##   [29,]     121     121     121     121     121     101      90      81      84
##   [30,]     121     121     121     121     119     110     103      98      96
##   [31,]     121     121     121     121     121     119     117     117     113
##   [32,]     121     121     121     121     121     121     121     120     121
##   [33,]     121     121     121     121     121     121     121     121     121
##   [34,]     121     121     121     121     121     121     121     121     121
##   [35,]     121     121     121     121     121     121     121     121     121
##   [36,]     121     121     121     120     119     120     121     121     120
##   [37,]     121     120     119     118     117     117     117     117     119
##   [38,]     121     120     118     116     114     113     114     115     118
##   [39,]     121     119     116     113     111     109     110     112     118
##   [40,]     121     116     111     107     103      99     102     107     119
##   [41,]     121     108      97      90      83      86      93     101     121
##   [42,]     111      99      83      71      60      62      69      72      92
##   [43,]     110      95      77      60      62      60      61      60      60
##   [44,]     114      98      80      70      60      60      60      60      60
##   [45,]     117      97      84      72      60      60      60      60      60
##   [46,]     117     100      87      75      67      60      60      60      60
##   [47,]      97      89      84      76      68      60      60      60      60
##   [48,]      73      75      73      70      66      60      60      60      60
##   [49,]      60      60      60      60      62      62      60      60      60
##   [50,]      60      60      60      60      60      61      61      60      60
##   [51,]      60      60      60      60      60      60      60      60      60
##   [52,]      61      60      60      60      60      60      60      60      60
##   [53,]      63      60      60      60      60      60      60      60      60
##   [54,]      65      60      60      60      60      60      60      60      60
##   [55,]      67      63      60      60      60      60      60      60      60
##   [56,]      70      66      63      60      60      60      60      60      60
##   [57,]      74      70      66      62      60      60      60      60      60
##   [58,]      79      74      70      66      63      60      60      60      60
##   [59,]      84      79      74      69      65      63      61      60      60
##   [60,]      88      83      78      73      67      63      60      60      60
##   [61,]      93      87      81      75      68      61      60      60      60
##   [62,]      99      94      87      79      69      60      60      60      60
##   [63,]     106     101      93      84      72      63      60      60      60
##   [64,]     117     116     105      94      76      63      61      60      60
##   [65,]     121     121     121     104      72      61      60      60      60
##   [66,]     121     121     121     107      60      61      61      66      71
##   [67,]     121     121     121      95      79      60      74      79      84
##   [68,]     121     121     121     102      89      85      88      94      98
##   [69,]     121     121     121     113     102     101     103     107     112
##   [70,]     121     121     121     121     116     117     115     118     120
##   [71,]     121     121     121     121     121     121     121     121     121
##   [72,]     121     120     120     121     121     121     121     121     121
##   [73,]     120     119     119     119     119     121     121     121     121
##   [74,]     120     119     118     118     117     119     119     121     121
##   [75,]     119     118     116     115     115     116     117     118     121
##   [76,]     118     116     114     113     112     113     113     113     116
##   [77,]     117     115     112     110     108     108     106     105     106
##   [78,]     116     113     110     107     103     101      98      95      93
##   [79,]     115     112     108     104      98      93      89      84      80
##   [80,]     117     113     108     103      95      87      82      76      70
##   [81,]     124     119     112     106      98      89      82      76      69
##   [82,]     135     121     118     109      99      92      85      78      71
##   [83,]     159     140     126     116     104      95      87      79      71
##         [,1088] [,1089] [,1090] [,1091] [,1092] [,1093] [,1094] [,1095] [,1096]
##    [1,]      47      50      53      56      58      59      60      61      62
##    [2,]      50      52      55      58      60      61      61      61      62
##    [3,]      53      55      57      60      61      62      62      62      62
##    [4,]      54      55      57      60      61      61      62      61      61
##    [5,]      54      56      57      60      60      60      60      60      60
##    [6,]      55      56      58      60      60      60      60      60      60
##    [7,]      56      56      58      60      60      60      60      60      60
##    [8,]      56      57      58      60      60      60      60      60      60
##    [9,]      57      58      60      60      60      60      60      60      60
##   [10,]      57      59      60      60      60      60      60      60      60
##   [11,]      58      59      60      60      60      60      60      60      60
##   [12,]      59      60      60      60      60      60      60      60      60
##   [13,]      59      60      60      60      60      60      60      60      60
##   [14,]      60      60      60      60      60      60      60      60      60
##   [15,]      60      60      60      60      60      60      60      60      60
##   [16,]      60      60      60      60      60      60      60      60      60
##   [17,]      60      60      60      60      60      60      60      60      60
##   [18,]      60      60      60      60      60      60      60      60      60
##   [19,]      60      60      60      60      60      60      60      60      60
##   [20,]      60      60      60      60      60      60      60      60      60
##   [21,]      60      60      60      60      60      60      60      60      60
##   [22,]      60      60      60      60      60      60      60      60      60
##   [23,]      60      60      60      60      60      60      60      60      60
##   [24,]      60      60      60      60      60      60      60      60      60
##   [25,]      60      60      60      60      60      60      60      60      60
##   [26,]      60      60      60      60      60      60      60      60      60
##   [27,]      60      65      64      61      60      60      60      60      60
##   [28,]      72      73      69      64      60      61      60      60      60
##   [29,]      89      85      78      70      67      62      61      60      60
##   [30,]     102      93      84      75      69      64      61      60      60
##   [31,]     117     103      92      80      71      64      61      60      60
##   [32,]     121     110      97      82      67      60      61      60      60
##   [33,]     121     117     104      83      67      63      61      60      60
##   [34,]     121     121     121      89      77      70      63      60      60
##   [35,]     121     121     106      93      81      72      64      61      60
##   [36,]     121     121     110      98      85      70      60      60      60
##   [37,]     121     121     110      99      87      70      61      61      60
##   [38,]     121     121     110     100      91      74      65      60      60
##   [39,]     121     121     113     105      97      77      68      64      60
##   [40,]     121     121     117     110     104      80      70      66      64
##   [41,]     121     121     121     116     110      82      72      68      66
##   [42,]     112     121     121     121     118      84      74      70      68
##   [43,]      81     103     121     111      98      86      76      71      69
##   [44,]      60      80      88      93      92      85      77      72      69
##   [45,]      60      60      71      75      76      76      72      68      67
##   [46,]      60      60      60      63      65      66      63      60      62
##   [47,]      60      60      60      60      61      61      60      60      60
##   [48,]      60      60      60      60      60      60      60      60      60
##   [49,]      60      60      60      60      60      60      60      60      60
##   [50,]      60      60      60      60      60      60      60      60      60
##   [51,]      60      60      60      60      60      60      60      60      60
##   [52,]      60      60      60      60      60      60      60      60      60
##   [53,]      60      60      60      60      60      60      60      60      60
##   [54,]      60      60      60      60      60      60      60      60      60
##   [55,]      60      60      60      60      60      60      60      60      60
##   [56,]      60      60      60      60      60      60      60      60      60
##   [57,]      60      60      60      60      60      60      60      60      60
##   [58,]      60      60      60      60      60      60      60      60      60
##   [59,]      60      60      60      60      60      60      60      60      60
##   [60,]      60      60      60      60      60      60      60      60      60
##   [61,]      60      60      60      60      60      60      60      60      60
##   [62,]      60      60      60      60      60      60      60      60      60
##   [63,]      60      60      60      60      60      60      60      60      60
##   [64,]      60      60      60      60      60      60      60      60      60
##   [65,]      60      60      60      60      60      60      60      60      60
##   [66,]      68      63      60      61      60      60      60      60      60
##   [67,]      80      74      66      60      60      60      60      60      60
##   [68,]      92      85      75      65      60      60      60      60      60
##   [69,]     104      96      84      72      65      60      60      60      60
##   [70,]     117     108      94      79      70      60      60      60      60
##   [71,]     121     121     105      88      78      69      60      60      60
##   [72,]     121     121     114      95      84      75      67      60      60
##   [73,]     121     121     118     105      94      83      74      65      60
##   [74,]     121     121     121     114     102      90      78      68      62
##   [75,]     121     121     121     121     106      92      79      67      61
##   [76,]     121     120     121     121     105      90      76      60      61
##   [77,]     110     116     121     121     101      87      74      68      61
##   [78,]      96     101     121     101      95      84      74      67      62
##   [79,]      76      71      82      86      84      79      73      67      61
##   [80,]      60      60      60      67      68      69      66      60      61
##   [81,]      63      60      60      60      62      62      62      62      61
##   [82,]      65      60      60      60      60      60      60      60      60
##   [83,]      65      61      60      60      60      60      60      60      60
##         [,1097] [,1098] [,1099] [,1100] [,1101] [,1102] [,1103] [,1104] [,1105]
##    [1,]      62      63      62      60      57      53      48      44      40
##    [2,]      63      65      65      63      61      58      53      49      45
##    [3,]      64      66      66      65      63      61      57      53      49
##    [4,]      62      64      64      64      63      62      60      57      54
##    [5,]      60      61      61      61      61      60      60      59      58
##    [6,]      60      60      60      60      60      60      60      60      60
##    [7,]      60      60      60      60      60      60      60      60      60
##    [8,]      60      60      60      60      60      60      60      60      60
##    [9,]      60      60      60      60      60      60      60      60      60
##   [10,]      60      60      60      60      60      60      60      60      60
##   [11,]      60      60      60      60      60      60      60      60      60
##   [12,]      60      60      60      60      60      60      60      60      60
##   [13,]      60      60      60      60      60      60      60      60      60
##   [14,]      60      60      60      60      60      60      60      60      60
##   [15,]      60      60      60      60      60      60      60      60      60
##   [16,]      60      60      60      60      60      60      60      60      60
##   [17,]      60      60      60      60      60      60      60      60      60
##   [18,]      60      60      60      60      60      60      60      60      60
##   [19,]      60      60      60      60      60      60      60      60      60
##   [20,]      60      60      60      60      60      60      60      60      60
##   [21,]      60      60      60      60      60      60      60      60      60
##   [22,]      60      60      60      60      60      60      60      60      60
##   [23,]      60      60      60      60      60      60      60      60      60
##   [24,]      60      60      60      60      60      60      60      60      60
##   [25,]      60      60      60      60      60      60      60      60      60
##   [26,]      60      60      60      60      60      60      60      60      60
##   [27,]      60      60      60      60      60      60      60      60      60
##   [28,]      60      60      60      60      60      60      60      60      60
##   [29,]      60      60      60      60      60      60      60      60      60
##   [30,]      60      60      60      60      60      60      60      60      60
##   [31,]      60      60      60      60      60      60      60      60      60
##   [32,]      60      60      60      60      60      60      60      60      60
##   [33,]      60      60      60      60      60      60      60      60      60
##   [34,]      60      60      60      60      60      60      60      60      60
##   [35,]      60      60      60      60      60      60      60      60      60
##   [36,]      60      60      60      60      60      60      60      60      60
##   [37,]      60      60      60      60      60      60      60      60      60
##   [38,]      60      60      60      60      60      60      60      60      60
##   [39,]      60      60      60      60      60      60      60      60      60
##   [40,]      62      61      60      60      60      60      60      60      60
##   [41,]      64      62      61      60      60      60      60      60      60
##   [42,]      65      64      62      60      60      60      60      60      60
##   [43,]      66      64      62      60      60      60      60      60      60
##   [44,]      66      64      62      60      60      60      60      60      60
##   [45,]      65      64      61      60      60      60      60      60      60
##   [46,]      62      62      61      60      60      60      60      60      60
##   [47,]      60      60      60      60      60      60      60      60      60
##   [48,]      60      60      60      60      60      60      60      60      60
##   [49,]      60      60      60      60      60      60      60      60      60
##   [50,]      60      60      60      60      60      60      60      60      60
##   [51,]      60      60      60      60      60      60      60      60      60
##   [52,]      60      60      60      60      60      60      60      60      60
##   [53,]      60      60      60      60      60      60      60      60      60
##   [54,]      60      60      60      60      60      60      60      60      60
##   [55,]      60      60      60      60      60      60      60      60      60
##   [56,]      60      60      60      60      60      60      60      60      60
##   [57,]      60      60      60      60      60      60      60      60      60
##   [58,]      60      60      60      60      60      60      60      60      60
##   [59,]      60      60      60      60      60      60      60      60      60
##   [60,]      60      60      60      60      60      60      60      60      60
##   [61,]      60      60      60      60      60      60      60      60      60
##   [62,]      60      60      60      60      60      60      60      60      60
##   [63,]      60      60      60      60      60      60      60      60      60
##   [64,]      60      60      60      60      60      60      60      60      60
##   [65,]      60      60      60      60      60      60      60      60      60
##   [66,]      60      60      60      60      60      60      60      60      60
##   [67,]      60      60      60      60      60      60      60      60      60
##   [68,]      60      60      60      60      60      60      60      60      60
##   [69,]      60      60      60      60      60      60      60      60      60
##   [70,]      60      60      60      60      60      60      60      60      60
##   [71,]      60      60      60      60      60      60      60      60      60
##   [72,]      60      60      60      60      60      60      60      60      60
##   [73,]      60      60      60      60      60      60      60      60      60
##   [74,]      60      60      60      60      60      60      60      60      60
##   [75,]      60      60      60      60      60      60      60      60      60
##   [76,]      60      60      60      60      60      60      60      60      60
##   [77,]      60      60      60      60      60      60      60      60      60
##   [78,]      60      60      60      60      60      60      60      60      60
##   [79,]      60      60      60      60      60      60      60      60      60
##   [80,]      60      60      60      60      60      60      60      60      60
##   [81,]      60      60      60      60      60      60      60      60      60
##   [82,]      60      60      60      60      60      60      60      60      60
##   [83,]      60      60      60      60      60      60      60      60      60
##         [,1106] [,1107] [,1108] [,1109] [,1110] [,1111] [,1112] [,1113] [,1114]
##    [1,]      36      34      32      29      27      24      22      20      19
##    [2,]      41      39      36      34      31      27      25      23      22
##    [3,]      45      42      40      37      33      29      26      25      24
##    [4,]      50      47      44      41      37      31      27      25      23
##    [5,]      55      52      49      45      40      33      28      24      22
##    [6,]      58      55      52      48      42      34      28      24      22
##    [7,]      60      58      55      50      43      35      29      24      22
##    [8,]      60      59      56      50      42      34      27      23      22
##    [9,]      60      60      57      50      42      33      26      22      21
##   [10,]      60      60      57      50      42      33      26      22      21
##   [11,]      60      60      57      50      42      33      26      21      21
##   [12,]      60      60      59      51      42      33      24      21      22
##   [13,]      60      60      59      51      42      33      24      21      23
##   [14,]      60      60      59      51      42      33      24      21      23
##   [15,]      60      60      60      52      42      33      24      21      23
##   [16,]      60      60      59      51      42      33      24      22      24
##   [17,]      60      60      59      51      42      33      24      22      24
##   [18,]      60      60      57      50      42      33      25      22      24
##   [19,]      60      60      57      50      42      34      25      23      25
##   [20,]      60      60      57      50      42      34      25      23      25
##   [21,]      60      60      57      50      42      34      26      22      25
##   [22,]      60      60      60      51      43      34      26      18      25
##   [23,]      60      60      60      52      43      35      26      18      28
##   [24,]      60      60      60      52      43      35      26      18      28
##   [25,]      60      60      60      52      44      35      27      19      28
##   [26,]      60      60      60      52      44      36      27      19      29
##   [27,]      60      60      60      52      44      36      27      19      29
##   [28,]      60      60      60      53      45      36      28      20      29
##   [29,]      60      60      60      53      45      37      28      20      30
##   [30,]      60      60      60      54      46      37      28      21      30
##   [31,]      60      60      60      55      46      37      29      21      31
##   [32,]      60      60      60      56      47      38      29      21      31
##   [33,]      60      60      60      57      47      38      29      24      32
##   [34,]      60      60      60      58      47      39      29      26      34
##   [35,]      60      60      60      60      47      39      30      27      34
##   [36,]      60      60      60      52      47      39      30      27      35
##   [37,]      60      60      60      52      47      39      30      27      35
##   [38,]      60      60      60      53      47      40      30      28      35
##   [39,]      60      60      60      53      48      40      31      28      36
##   [40,]      60      60      60      53      49      40      31      29      36
##   [41,]      60      60      60      54      50      41      31      29      37
##   [42,]      60      60      60      54      51      41      31      30      37
##   [43,]      60      60      60      55      52      41      32      30      37
##   [44,]      60      60      60      55      53      42      29      35      38
##   [45,]      60      60      60      56      54      42      29      35      38
##   [46,]      60      60      60      57      55      42      30      36      39
##   [47,]      60      60      60      58      57      42      30      36      39
##   [48,]      60      60      60      59      58      42      30      37      39
##   [49,]      60      60      60      60      59      41      31      37      40
##   [50,]      60      60      60      60      60      41      31      38      40
##   [51,]      60      60      60      60      49      40      31      38      40
##   [52,]      60      60      60      60      49      40      32      39      41
##   [53,]      60      60      60      60      49      38      32      39      41
##   [54,]      60      60      60      60      49      37      31      39      42
##   [55,]      60      60      60      60      50      38      32      40      42
##   [56,]      60      60      60      60      50      38      32      40      42
##   [57,]      60      60      60      60      50      39      33      41      43
##   [58,]      60      60      60      60      50      37      33      41      43
##   [59,]      60      60      60      60      50      39      34      42      43
##   [60,]      60      60      60      60      50      39      34      42      44
##   [61,]      60      60      60      60      50      39      35      42      44
##   [62,]      60      60      60      60      50      40      35      43      44
##   [63,]      60      60      60      60      50      40      36      43      45
##   [64,]      60      60      60      60      46      38      37      44      45
##   [65,]      60      60      60      60      47      39      37      44      46
##   [66,]      60      60      60      60      47      39      38      45      46
##   [67,]      60      60      60      60      47      40      38      45      46
##   [68,]      60      60      60      60      47      40      39      46      47
##   [69,]      60      60      60      60      47      41      39      46      47
##   [70,]      60      60      60      60      48      41      40      46      47
##   [71,]      60      60      60      60      48      42      40      47      48
##   [72,]      60      60      60      60      48      42      41      47      48
##   [73,]      60      60      60      60      48      43      42      48      48
##   [74,]      60      60      60      56      46      43      42      48      49
##   [75,]      60      60      60      56      46      44      43      48      49
##   [76,]      60      60      60      56      47      44      43      49      49
##   [77,]      60      60      60      56      47      45      44      49      50
##   [78,]      60      60      60      56      48      46      45      50      50
##   [79,]      60      60      60      56      48      46      45      50      50
##   [80,]      60      60      60      56      48      46      46      50      51
##   [81,]      60      60      60      56      49      47      46      51      51
##   [82,]      60      60      60      56      49      47      47      51      52
##   [83,]      60      60      60      56      50      48      47      52      52
##         [,1115] [,1116] [,1117] [,1118] [,1119] [,1120] [,1121] [,1122] [,1123]
##    [1,]      18      17      17      17      17      18      19      20      21
##    [2,]      21      21      21      21      22      23      24      26      28
##    [3,]      24      24      24      25      26      27      29      31      33
##    [4,]      23      24      25      25      26      28      30      33      35
##    [5,]      22      24      25      25      26      29      31      34      36
##    [6,]      22      24      25      26      27      29      31      34      37
##    [7,]      22      25      26      26      27      29      31      35      37
##    [8,]      22      25      26      26      27      30      32      35      37
##    [9,]      22      25      26      27      28      30      32      36      38
##   [10,]      23      26      27      27      28      30      32      36      38
##   [11,]      23      26      27      27      28      31      33      37      38
##   [12,]      25      27      28      28      29      31      33      37      39
##   [13,]      26      28      28      28      29      31      33      37      39
##   [14,]      27      28      28      28      29      32      34      37      39
##   [15,]      27      28      29      29      30      32      34      38      39
##   [16,]      27      29      29      29      30      32      34      38      39
##   [17,]      28      29      29      29      30      32      34      38      40
##   [18,]      28      30      30      30      31      33      35      39      40
##   [19,]      28      30      30      30      31      33      36      39      40
##   [20,]      29      30      30      30      31      33      37      40      40
##   [21,]      29      31      31      31      31      34      37      40      41
##   [22,]      30      31      31      31      31      34      37      40      41
##   [23,]      31      32      32      32      32      35      37      41      41
##   [24,]      31      32      32      32      32      35      38      41      41
##   [25,]      32      32      32      32      32      35      38      41      41
##   [26,]      32      32      32      32      32      35      38      41      42
##   [27,]      32      33      33      33      33      36      39      41      42
##   [28,]      33      33      33      33      33      36      39      42      42
##   [29,]      33      33      33      33      33      37      40      42      42
##   [30,]      33      34      34      34      34      37      41      42      42
##   [31,]      34      34      34      34      34      37      41      42      43
##   [32,]      34      35      35      35      34      38      42      42      43
##   [33,]      35      35      35      35      35      38      42      43      43
##   [34,]      35      35      35      35      35      38      42      43      43
##   [35,]      35      35      35      35      35      39      42      43      43
##   [36,]      36      36      36      36      36      39      42      43      44
##   [37,]      36      36      36      36      36      39      43      44      44
##   [38,]      36      37      37      36      36      40      43      44      44
##   [39,]      37      37      37      37      38      40      43      44      44
##   [40,]      37      37      37      37      38      40      43      44      45
##   [41,]      37      38      38      37      39      41      44      45      45
##   [42,]      38      38      38      38      39      41      44      45      45
##   [43,]      38      38      38      38      39      42      44      45      45
##   [44,]      39      39      39      38      40      42      44      45      46
##   [45,]      39      39      39      39      40      42      45      46      46
##   [46,]      39      39      39      39      40      42      45      46      46
##   [47,]      39      40      39      39      40      42      45      46      46
##   [48,]      40      40      40      40      41      43      45      46      46
##   [49,]      40      40      40      40      41      43      46      46      46
##   [50,]      41      41      40      40      43      43      46      46      47
##   [51,]      41      41      41      41      43      44      46      47      47
##   [52,]      41      41      41      41      43      44      46      47      47
##   [53,]      42      42      42      41      44      44      47      47      47
##   [54,]      42      42      42      42      44      45      47      47      48
##   [55,]      42      42      42      42      44      45      47      48      48
##   [56,]      43      43      42      42      45      45      47      48      48
##   [57,]      43      43      43      43      45      45      47      48      48
##   [58,]      43      43      43      43      45      46      48      48      48
##   [59,]      44      44      43      43      45      46      48      49      49
##   [60,]      44      44      44      44      46      46      48      49      49
##   [61,]      44      44      44      44      46      46      49      49      49
##   [62,]      45      45      44      44      46      47      49      49      49
##   [63,]      45      45      45      45      46      47      49      49      49
##   [64,]      45      45      45      45      47      47      49      49      50
##   [65,]      46      46      46      45      47      47      49      50      50
##   [66,]      46      46      46      46      48      48      49      50      50
##   [67,]      46      46      46      46      48      48      50      50      50
##   [68,]      47      47      46      46      48      48      50      50      50
##   [69,]      47      47      47      47      48      49      50      51      51
##   [70,]      47      47      47      47      49      49      50      51      51
##   [71,]      48      48      47      47      49      49      51      51      51
##   [72,]      48      48      48      48      49      49      51      51      51
##   [73,]      48      48      48      48      49      50      51      51      51
##   [74,]      49      49      48      48      50      50      51      52      52
##   [75,]      49      49      49      49      50      50      52      52      52
##   [76,]      49      49      49      49      50      50      52      52      52
##   [77,]      50      50      49      49      50      51      52      52      52
##   [78,]      50      50      50      49      51      51      52      52      52
##   [79,]      50      50      50      50      51      51      53      53      53
##   [80,]      51      51      50      50      51      51      53      53      53
##   [81,]      51      51      51      50      52      52      53      53      53
##   [82,]      51      51      51      51      52      52      53      53      53
##   [83,]      52      52      51      51      52      52      53      53      53
##         [,1124] [,1125] [,1126] [,1127] [,1128] [,1129] [,1130] [,1131] [,1132]
##    [1,]      22      23      24      25      26      27      28      29      29
##    [2,]      29      30      31      33      34      36      37      38      38
##    [3,]      34      36      37      39      41      43      44      45      45
##    [4,]      37      38      40      42      44      46      48      49      49
##    [5,]      37      38      41      42      44      47      49      50      50
##    [6,]      38      39      41      42      44      48      49      50      50
##    [7,]      38      39      41      43      45      48      50      50      50
##    [8,]      38      39      41      43      45      48      50      50      50
##    [9,]      38      39      42      43      45      48      50      50      50
##   [10,]      39      39      42      43      45      48      50      50      50
##   [11,]      39      39      42      44      45      48      50      50      50
##   [12,]      39      39      42      44      44      49      50      50      50
##   [13,]      39      39      42      44      45      49      50      50      51
##   [14,]      39      39      42      44      45      49      50      51      51
##   [15,]      39      39      43      44      47      50      50      51      51
##   [16,]      40      40      43      44      47      50      51      51      51
##   [17,]      40      40      43      45      47      50      51      51      51
##   [18,]      40      40      43      45      47      50      51      51      51
##   [19,]      40      40      43      45      47      50      51      51      51
##   [20,]      41      41      44      45      47      50      51      51      51
##   [21,]      41      41      44      45      48      50      51      51      51
##   [22,]      41      41      44      46      47      50      51      51      51
##   [23,]      41      41      44      46      48      51      51      51      51
##   [24,]      41      41      44      46      48      51      51      51      51
##   [25,]      42      42      45      46      48      51      51      51      52
##   [26,]      42      42      45      46      50      51      51      52      52
##   [27,]      42      42      45      47      50      51      52      52      52
##   [28,]      42      42      45      47      50      51      52      52      52
##   [29,]      42      42      45      47      50      51      52      52      52
##   [30,]      43      43      46      47      50      51      52      52      52
##   [31,]      43      43      46      47      50      51      52      52      52
##   [32,]      43      43      46      47      50      52      52      52      52
##   [33,]      43      43      46      48      50      52      52      52      52
##   [34,]      43      43      46      48      51      52      52      52      52
##   [35,]      44      44      47      48      51      52      52      52      52
##   [36,]      44      44      47      48      51      52      52      52      52
##   [37,]      44      44      47      48      51      52      52      52      53
##   [38,]      44      44      48      48      51      52      52      53      53
##   [39,]      45      45      48      49      51      52      53      53      53
##   [40,]      45      45      48      49      51      52      53      53      52
##   [41,]      45      45      48      49      52      53      53      53      51
##   [42,]      45      45      48      49      52      53      53      53      51
##   [43,]      45      45      48      49      52      53      53      53      52
##   [44,]      46      46      48      49      52      53      53      53      52
##   [45,]      46      47      49      49      52      53      53      53      52
##   [46,]      46      47      49      49      52      53      53      53      52
##   [47,]      46      47      49      49      52      53      53      53      52
##   [48,]      46      48      49      50      52      53      53      53      52
##   [49,]      46      48      50      50      52      53      53      53      52
##   [50,]      47      48      50      50      53      53      53      53      52
##   [51,]      47      48      50      50      53      53      53      53      51
##   [52,]      47      48      50      50      53      53      53      53      51
##   [53,]      47      49      50      50      53      53      53      54      51
##   [54,]      48      49      50      51      53      53      54      54      51
##   [55,]      48      50      51      51      53      54      54      54      52
##   [56,]      48      50      51      51      53      54      54      54      52
##   [57,]      48      50      51      51      53      54      54      54      52
##   [58,]      48      51      51      51      53      54      54      54      52
##   [59,]      49      51      51      51      53      54      54      54      52
##   [60,]      49      51      51      51      53      54      54      54      52
##   [61,]      49      51      52      52      54      54      54      54      52
##   [62,]      49      51      52      52      54      54      54      54      52
##   [63,]      49      51      52      52      54      54      54      54      53
##   [64,]      50      52      52      52      54      54      54      54      53
##   [65,]      50      52      52      52      54      54      54      54      53
##   [66,]      50      52      52      52      54      54      55      55      53
##   [67,]      50      52      52      52      54      55      55      55      53
##   [68,]      50      52      53      53      54      55      55      55      53
##   [69,]      51      52      53      53      54      55      55      55      53
##   [70,]      51      53      53      53      55      55      55      55      53
##   [71,]      51      53      53      53      55      55      55      55      53
##   [72,]      51      53      53      53      55      55      55      55      53
##   [73,]      51      53      53      53      55      55      55      55      54
##   [74,]      52      53      53      53      55      55      55      55      54
##   [75,]      52      53      53      53      55      55      55      55      54
##   [76,]      52      53      54      54      55      55      55      55      54
##   [77,]      52      53      54      54      55      55      55      55      54
##   [78,]      52      54      54      54      55      55      55      55      54
##   [79,]      53      54      54      54      55      56      56      56      54
##   [80,]      53      54      54      54      56      56      56      56      55
##   [81,]      53      54      54      54      56      56      56      56      55
##   [82,]      53      54      55      55      56      56      56      56      55
##   [83,]      53      55      55      55      56      56      56      56      55
##         [,1133] [,1134] [,1135] [,1136] [,1137] [,1138] [,1139] [,1140] [,1141]
##    [1,]      29      29      30      30      30      31      32      33      33
##    [2,]      38      38      38      38      39      40      41      42      42
##    [3,]      45      45      45      45      46      47      48      49      49
##    [4,]      48      48      49      49      49      50      52      53      54
##    [5,]      48      49      49      50      50      51      53      55      56
##    [6,]      48      49      49      50      50      51      53      55      56
##    [7,]      48      49      49      50      50      51      53      55      56
##    [8,]      48      49      49      50      50      51      53      55      56
##    [9,]      48      49      50      50      50      51      54      55      56
##   [10,]      48      49      50      50      50      51      54      55      56
##   [11,]      48      49      50      50      50      51      54      55      56
##   [12,]      47      49      50      50      51      51      54      55      56
##   [13,]      47      49      50      51      51      51      54      55      56
##   [14,]      48      49      50      51      51      51      54      55      56
##   [15,]      48      49      50      51      51      51      54      56      56
##   [16,]      48      49      51      51      51      51      54      56      56
##   [17,]      48      49      51      51      51      51      54      56      56
##   [18,]      48      50      51      51      51      51      54      56      56
##   [19,]      48      50      51      51      51      51      54      56      56
##   [20,]      48      50      51      51      51      51      54      56      56
##   [21,]      48      50      51      51      51      51      54      56      56
##   [22,]      48      50      51      51      51      51      54      56      56
##   [23,]      48      51      51      51      51      51      55      56      56
##   [24,]      49      51      51      51      52      52      55      56      56
##   [25,]      49      51      51      52      52      52      55      56      56
##   [26,]      49      51      52      52      52      52      55      56      56
##   [27,]      49      51      52      52      52      52      55      56      57
##   [28,]      49      51      52      52      52      52      55      56      57
##   [29,]      49      51      52      52      52      52      55      56      57
##   [30,]      49      51      52      52      52      52      55      56      57
##   [31,]      50      52      52      52      52      52      55      56      57
##   [32,]      50      52      52      52      52      52      55      56      57
##   [33,]      50      52      52      52      52      52      55      56      57
##   [34,]      50      52      52      52      52      52      55      56      57
##   [35,]      50      52      52      52      52      53      55      56      57
##   [36,]      50      52      52      53      53      53      56      57      57
##   [37,]      51      52      53      53      53      53      56      57      57
##   [38,]      51      52      53      53      53      53      56      57      57
##   [39,]      51      53      53      53      53      53      56      57      57
##   [40,]      51      53      53      53      53      53      56      57      57
##   [41,]      52      53      53      53      53      53      56      57      57
##   [42,]      52      53      53      53      53      53      56      57      57
##   [43,]      52      53      53      53      53      53      56      57      57
##   [44,]      52      53      53      53      53      53      56      57      57
##   [45,]      52      53      53      53      53      53      56      57      57
##   [46,]      53      53      53      53      53      53      56      57      57
##   [47,]      53      53      53      53      53      55      57      57      57
##   [48,]      53      53      53      53      53      55      57      57      57
##   [49,]      53      53      53      53      53      55      57      57      57
##   [50,]      53      53      53      53      53      55      57      57      57
##   [51,]      53      53      53      54      54      55      57      57      57
##   [52,]      53      53      54      54      54      55      57      57      57
##   [53,]      53      54      54      54      54      55      57      57      57
##   [54,]      53      54      54      54      54      55      57      57      57
##   [55,]      53      54      54      54      54      55      57      57      57
##   [56,]      53      54      54      54      54      55      57      57      57
##   [57,]      53      54      54      54      54      56      57      57      57
##   [58,]      54      54      54      54      54      56      57      57      57
##   [59,]      54      54      54      54      54      56      57      57      57
##   [60,]      54      54      54      54      54      56      57      57      57
##   [61,]      54      54      54      54      54      56      57      57      57
##   [62,]      54      54      54      54      54      56      57      57      57
##   [63,]      54      54      54      55      55      56      57      57      57
##   [64,]      54      55      55      55      55      56      57      57      57
##   [65,]      54      55      55      55      55      56      57      57      58
##   [66,]      54      55      55      55      55      56      57      57      58
##   [67,]      54      55      55      55      55      57      57      57      58
##   [68,]      55      55      55      55      55      57      57      57      58
##   [69,]      55      55      55      55      55      57      57      57      58
##   [70,]      55      55      55      55      55      57      57      57      58
##   [71,]      55      55      55      55      55      57      57      57      58
##   [72,]      55      55      55      55      55      57      57      57      58
##   [73,]      55      55      55      55      55      57      57      57      58
##   [74,]      55      55      55      55      55      57      57      57      58
##   [75,]      55      55      56      56      56      57      57      58      58
##   [76,]      55      56      56      56      56      57      57      58      58
##   [77,]      55      56      56      56      56      57      57      58      58
##   [78,]      56      56      56      56      56      57      57      58      58
##   [79,]      56      56      56      56      56      57      57      58      58
##   [80,]      56      56      56      56      56      57      57      58      58
##   [81,]      56      56      56      56      56      57      57      58      58
##   [82,]      56      56      56      56      56      57      57      58      58
##   [83,]      56      56      56      56      56      57      57      58      58
##         [,1142] [,1143] [,1144] [,1145] [,1146] [,1147] [,1148] [,1149] [,1150]
##    [1,]      33      33      33      33      33      34      34      34      33
##    [2,]      42      42      42      42      42      43      42      42      41
##    [3,]      49      49      49      49      49      50      49      48      47
##    [4,]      54      54      54      54      54      54      52      51      50
##    [5,]      56      56      56      56      56      55      53      51      51
##    [6,]      56      56      56      56      56      56      53      51      51
##    [7,]      56      56      56      56      56      56      53      52      51
##    [8,]      56      56      56      56      56      56      53      52      51
##    [9,]      56      56      56      56      56      56      53      52      51
##   [10,]      56      56      56      56      56      56      53      52      51
##   [11,]      56      56      56      56      56      56      53      52      51
##   [12,]      56      56      56      56      56      56      53      52      52
##   [13,]      56      56      56      56      56      56      53      52      52
##   [14,]      56      56      56      56      56      57      53      52      52
##   [15,]      56      56      56      56      57      57      53      52      52
##   [16,]      56      56      56      57      57      57      53      52      52
##   [17,]      56      56      57      57      57      57      53      53      53
##   [18,]      56      57      57      57      57      57      54      53      53
##   [19,]      56      57      57      57      57      57      54      53      53
##   [20,]      56      57      57      57      57      57      54      53      53
##   [21,]      57      57      57      57      57      57      54      53      53
##   [22,]      57      57      57      57      57      57      54      53      53
##   [23,]      57      57      57      57      57      56      54      53      53
##   [24,]      57      57      57      57      57      56      54      54      54
##   [25,]      57      57      57      57      57      56      54      54      54
##   [26,]      57      57      57      57      57      56      54      54      54
##   [27,]      57      57      57      57      57      56      54      54      54
##   [28,]      57      57      57      57      57      56      55      54      54
##   [29,]      57      57      57      57      57      56      55      54      54
##   [30,]      57      57      57      57      57      56      55      55      55
##   [31,]      57      57      57      57      57      56      55      55      55
##   [32,]      57      57      57      57      57      56      55      55      55
##   [33,]      57      57      57      57      57      56      55      55      55
##   [34,]      57      57      57      57      57      56      55      55      55
##   [35,]      57      57      57      57      57      56      56      56      56
##   [36,]      57      57      57      57      57      56      56      56      56
##   [37,]      57      57      57      57      57      56      56      56      56
##   [38,]      57      57      57      57      57      56      56      56      56
##   [39,]      57      57      57      57      57      56      56      56      56
##   [40,]      57      57      57      57      57      57      56      56      56
##   [41,]      57      57      57      57      57      57      57      57      57
##   [42,]      57      57      57      57      57      57      57      57      57
##   [43,]      57      57      57      57      57      57      57      57      57
##   [44,]      57      57      57      58      57      57      57      57      57
##   [45,]      57      57      57      58      58      58      58      58      58
##   [46,]      57      57      57      58      58      58      58      58      58
##   [47,]      57      57      58      58      58      58      58      58      58
##   [48,]      57      57      58      58      58      58      58      58      58
##   [49,]      57      57      58      58      58      58      58      58      58
##   [50,]      57      57      58      58      58      58      58      58      58
##   [51,]      57      57      58      58      58      58      58      58      58
##   [52,]      57      57      58      58      58      58      58      58      58
##   [53,]      57      58      58      58      58      58      58      58      58
##   [54,]      57      58      58      58      58      58      58      58      58
##   [55,]      57      58      58      58      58      58      58      58      58
##   [56,]      57      58      58      58      58      58      58      58      59
##   [57,]      57      58      58      58      58      58      58      58      59
##   [58,]      58      58      58      58      58      58      58      59      59
##   [59,]      58      58      58      58      58      58      58      59      59
##   [60,]      58      58      58      58      58      58      59      59      59
##   [61,]      58      58      58      58      58      58      59      59      59
##   [62,]      58      58      58      58      58      58      59      59      59
##   [63,]      58      58      58      58      58      59      59      59      59
##   [64,]      58      58      58      58      58      59      59      59      59
##   [65,]      58      58      58      58      58      59      59      59      59
##   [66,]      58      58      58      58      59      59      59      59      59
##   [67,]      58      58      58      58      59      59      59      59      59
##   [68,]      58      58      58      59      59      59      59      59      59
##   [69,]      58      58      58      59      59      59      59      59      59
##   [70,]      58      58      59      59      59      59      59      59      59
##   [71,]      58      58      59      59      59      59      59      59      59
##   [72,]      58      58      59      59      59      59      59      59      59
##   [73,]      58      58      59      59      59      59      59      59      59
##   [74,]      58      58      59      59      59      59      59      59      59
##   [75,]      58      58      59      59      59      59      59      59      59
##   [76,]      58      59      59      59      59      59      59      59      59
##   [77,]      58      59      59      59      59      59      59      59      59
##   [78,]      58      59      59      59      59      59      59      59      59
##   [79,]      58      59      59      59      59      59      59      59      60
##   [80,]      58      59      59      59      59      59      59      59      60
##   [81,]      58      59      59      59      59      59      59      60      60
##   [82,]      58      59      59      59      59      59      59      60      60
##   [83,]      59      59      59      59      59      59      59      60      60
##         [,1151] [,1152] [,1153] [,1154] [,1155] [,1156] [,1157] [,1158] [,1159]
##    [1,]      33      33      34      34      35      35      35      35      35
##    [2,]      41      41      41      41      42      42      42      42      42
##    [3,]      47      47      47      47      47      47      47      47      46
##    [4,]      50      50      50      50      50      50      50      49      48
##    [5,]      50      50      50      50      50      50      50      50      47
##    [6,]      51      51      50      50      50      50      50      50      47
##    [7,]      51      51      51      51      51      51      51      51      48
##    [8,]      51      51      51      51      51      51      51      51      48
##    [9,]      51      51      51      51      51      51      51      51      48
##   [10,]      51      51      51      51      51      51      51      51      48
##   [11,]      51      51      51      51      51      51      51      51      48
##   [12,]      52      52      52      52      52      52      52      52      49
##   [13,]      52      52      52      52      52      52      52      52      49
##   [14,]      52      52      52      52      52      52      52      52      49
##   [15,]      52      52      52      52      52      52      52      52      49
##   [16,]      52      52      52      52      52      52      52      52      49
##   [17,]      53      53      53      53      53      53      53      53      50
##   [18,]      53      53      53      53      53      53      53      53      50
##   [19,]      53      53      53      53      53      53      53      53      50
##   [20,]      53      53      53      53      53      53      53      53      50
##   [21,]      53      53      53      53      53      53      53      53      51
##   [22,]      53      53      53      53      53      53      53      53      51
##   [23,]      53      53      53      53      53      53      54      54      51
##   [24,]      54      54      54      54      54      54      54      54      51
##   [25,]      54      54      54      54      54      54      54      54      52
##   [26,]      54      54      54      54      54      54      54      54      52
##   [27,]      54      54      54      54      54      54      54      54      52
##   [28,]      54      54      54      54      54      54      55      55      52
##   [29,]      54      54      54      54      54      55      55      55      53
##   [30,]      55      55      55      55      55      55      55      55      53
##   [31,]      55      55      55      55      55      55      55      55      53
##   [32,]      55      55      55      55      55      55      55      55      54
##   [33,]      55      55      55      55      55      55      55      55      54
##   [34,]      55      55      55      55      55      56      56      56      54
##   [35,]      56      56      56      56      56      56      56      56      55
##   [36,]      56      56      56      56      56      56      56      56      55
##   [37,]      56      56      56      56      56      56      56      56      55
##   [38,]      56      56      56      56      56      56      56      56      55
##   [39,]      56      56      56      56      56      56      56      56      56
##   [40,]      56      56      56      56      56      57      57      57      56
##   [41,]      57      57      57      57      57      57      57      57      56
##   [42,]      57      57      57      57      57      57      57      57      57
##   [43,]      57      57      57      57      57      57      57      57      57
##   [44,]      57      57      57      57      57      57      57      57      57
##   [45,]      58      58      58      58      58      58      58      58      58
##   [46,]      58      58      58      58      58      58      58      58      58
##   [47,]      58      58      58      58      58      58      58      59      59
##   [48,]      58      58      58      58      58      58      59      59      59
##   [49,]      58      58      58      58      58      58      58      58      59
##   [50,]      58      58      58      58      58      58      58      58      58
##   [51,]      58      58      58      58      58      58      58      58      58
##   [52,]      58      58      58      58      58      58      58      58      58
##   [53,]      58      59      59      59      59      59      59      59      59
##   [54,]      59      59      59      59      59      59      59      59      59
##   [55,]      59      59      59      59      59      59      59      59      59
##   [56,]      59      59      59      59      59      59      59      59      59
##   [57,]      59      59      59      59      59      59      59      59      59
##   [58,]      59      59      59      59      59      59      59      59      59
##   [59,]      59      59      59      59      59      59      59      59      59
##   [60,]      59      59      59      59      59      59      59      59      59
##   [61,]      59      59      59      59      59      59      59      59      59
##   [62,]      59      59      59      59      59      59      59      59      59
##   [63,]      59      59      59      59      59      59      59      59      59
##   [64,]      59      59      59      59      59      59      59      59      59
##   [65,]      59      59      59      59      59      59      59      59      59
##   [66,]      59      59      59      59      59      59      59      59      60
##   [67,]      59      59      59      59      59      59      59      60      60
##   [68,]      59      59      59      59      59      59      60      60      60
##   [69,]      59      59      59      59      59      59      60      60      60
##   [70,]      59      59      59      59      59      60      60      60      60
##   [71,]      59      59      59      59      59      60      60      60      60
##   [72,]      59      59      59      59      60      60      60      60      60
##   [73,]      59      59      59      60      60      60      60      60      60
##   [74,]      59      59      59      60      60      60      60      60      60
##   [75,]      59      59      60      60      60      60      60      60      60
##   [76,]      59      60      60      60      60      60      60      60      60
##   [77,]      60      60      60      60      60      60      60      60      60
##   [78,]      60      60      60      60      60      60      60      60      60
##   [79,]      60      60      60      60      60      60      60      60      60
##   [80,]      60      60      60      60      60      60      60      60      60
##   [81,]      60      60      60      60      60      60      60      60      60
##   [82,]      60      60      60      60      60      60      60      60      60
##   [83,]      60      60      60      60      60      60      60      60      60
##         [,1160] [,1161] [,1162] [,1163] [,1164] [,1165] [,1166] [,1167] [,1168]
##    [1,]      34      34      33      32      32      32      32      33      33
##    [2,]      41      39      38      37      36      35      35      35      37
##    [3,]      45      43      42      40      38      38      38      38      40
##    [4,]      46      45      43      41      39      39      38      39      41
##    [5,]      46      45      43      40      39      39      39      40      42
##    [6,]      46      45      43      40      39      39      39      40      42
##    [7,]      46      45      44      41      40      39      39      40      42
##    [8,]      46      46      44      41      40      40      40      41      43
##    [9,]      46      46      44      42      41      41      40      41      44
##   [10,]      47      46      44      42      41      41      41      42      45
##   [11,]      47      46      45      43      42      42      42      42      45
##   [12,]      47      47      45      43      42      42      42      42      46
##   [13,]      48      47      46      43      42      42      42      42      46
##   [14,]      48      47      45      44      43      43      43      43      47
##   [15,]      48      48      45      44      43      43      43      43      47
##   [16,]      48      48      45      44      44      44      44      44      47
##   [17,]      49      48      46      44      44      44      44      44      48
##   [18,]      49      49      46      45      45      45      45      45      48
##   [19,]      49      49      46      45      45      45      45      45      49
##   [20,]      49      49      47      46      46      46      46      47      49
##   [21,]      50      50      47      46      46      46      46      48      50
##   [22,]      50      50      48      47      47      47      47      48      50
##   [23,]      51      50      48      47      47      47      47      49      51
##   [24,]      51      51      48      48      48      48      48      49      51
##   [25,]      51      51      49      48      48      48      48      49      51
##   [26,]      51      51      49      49      49      49      49      50      52
##   [27,]      52      52      49      49      49      49      49      50      52
##   [28,]      52      52      50      50      49      49      50      51      53
##   [29,]      52      52      50      50      50      50      50      51      53
##   [30,]      53      53      51      51      51      51      51      53      53
##   [31,]      53      53      51      51      51      51      51      53      54
##   [32,]      53      53      52      51      51      51      52      54      54
##   [33,]      54      54      52      52      52      52      52      54      54
##   [34,]      54      54      53      52      52      52      53      55      55
##   [35,]      54      54      53      53      53      53      53      55      55
##   [36,]      55      55      54      53      53      53      54      55      56
##   [37,]      55      55      54      54      54      54      54      55      56
##   [38,]      55      55      54      54      54      54      55      56      56
##   [39,]      56      56      55      55      55      55      55      56      57
##   [40,]      56      56      55      55      55      55      56      57      57
##   [41,]      56      56      56      56      56      56      56      57      57
##   [42,]      56      56      56      56      56      56      57      57      58
##   [43,]      57      57      57      57      57      57      57      58      58
##   [44,]      57      57      57      57      57      57      58      58      59
##   [45,]      58      58      58      58      58      58      58      59      59
##   [46,]      58      59      59      59      59      59      59      59      59
##   [47,]      59      59      59      59      59      59      59      59      59
##   [48,]      59      59      59      59      59      59      59      59      59
##   [49,]      59      59      59      59      59      59      59      59      59
##   [50,]      58      58      58      59      59      59      59      59      59
##   [51,]      58      58      58      59      59      59      59      59      59
##   [52,]      58      58      58      58      59      59      59      59      59
##   [53,]      59      59      59      59      59      59      59      59      59
##   [54,]      59      59      59      59      59      59      59      59      59
##   [55,]      59      59      59      59      59      59      59      59      59
##   [56,]      59      59      59      59      59      59      59      59      59
##   [57,]      59      59      59      59      59      59      59      59      59
##   [58,]      59      59      59      59      59      59      59      59      59
##   [59,]      59      59      59      59      59      59      59      59      59
##   [60,]      59      59      59      59      59      59      59      59      60
##   [61,]      59      59      59      59      59      59      60      60      60
##   [62,]      59      59      59      60      60      60      60      60      60
##   [63,]      59      59      60      60      60      60      60      60      60
##   [64,]      60      60      60      60      60      60      60      60      60
##   [65,]      60      60      60      60      60      60      60      60      60
##   [66,]      60      60      60      60      60      60      60      60      60
##   [67,]      60      60      60      60      60      60      60      60      60
##   [68,]      60      60      60      60      60      60      60      60      60
##   [69,]      60      60      60      60      60      60      60      60      60
##   [70,]      60      60      60      60      60      60      60      60      60
##   [71,]      60      60      60      60      60      60      60      60      60
##   [72,]      60      60      60      60      60      60      60      60      60
##   [73,]      60      60      60      60      60      60      60      60      60
##   [74,]      60      60      60      60      60      60      60      60      60
##   [75,]      60      60      60      60      60      60      60      60      60
##   [76,]      60      60      60      60      60      60      60      60      60
##   [77,]      60      60      60      60      60      60      60      60      60
##   [78,]      60      60      60      60      60      60      60      60      60
##   [79,]      60      60      60      60      60      60      60      60      60
##   [80,]      60      60      60      60      60      60      60      60      60
##   [81,]      60      60      60      60      60      60      60      60      60
##   [82,]      60      60      60      60      60      60      60      60      60
##   [83,]      60      60      60      60      60      60      60      60      60
##         [,1169] [,1170] [,1171] [,1172] [,1173] [,1174] [,1175] [,1176] [,1177]
##    [1,]      34      35      35      34      34      34      34      34      35
##    [2,]      38      39      39      38      37      36      36      36      37
##    [3,]      41      42      41      40      38      38      38      38      38
##    [4,]      43      43      41      40      39      38      38      38      38
##    [5,]      44      44      41      40      39      39      39      39      39
##    [6,]      44      44      42      40      40      39      39      39      39
##    [7,]      44      44      42      41      40      40      40      39      39
##    [8,]      45      45      43      41      40      40      40      40      40
##    [9,]      45      45      43      42      41      41      41      40      40
##   [10,]      46      46      43      42      42      41      41      41      40
##   [11,]      46      46      44      42      42      42      42      41      41
##   [12,]      47      47      44      43      43      43      42      42      41
##   [13,]      47      47      45      43      43      43      43      42      42
##   [14,]      48      48      45      44      44      43      43      42      42
##   [15,]      48      48      45      44      44      44      43      43      42
##   [16,]      48      49      46      45      45      44      44      43      43
##   [17,]      49      49      46      45      45      45      44      44      43
##   [18,]      49      49      47      46      46      46      45      44      43
##   [19,]      49      50      47      46      46      46      45      45      44
##   [20,]      50      50      48      47      47      46      46      45      44
##   [21,]      50      51      48      48      47      47      46      46      45
##   [22,]      51      51      49      48      48      48      47      46      46
##   [23,]      51      51      49      48      48      48      47      47      46
##   [24,]      51      52      49      49      49      49      48      47      46
##   [25,]      52      52      50      49      49      49      48      47      47
##   [26,]      52      52      50      50      50      49      49      48      48
##   [27,]      53      53      51      50      51      50      49      49      48
##   [28,]      53      53      51      51      51      51      50      49      49
##   [29,]      53      53      52      52      52      51      50      50      49
##   [30,]      54      54      52      52      52      52      51      51      50
##   [31,]      54      54      53      53      53      52      52      51      50
##   [32,]      54      55      53      53      53      53      52      51      51
##   [33,]      55      55      54      54      54      53      53      52      51
##   [34,]      55      55      54      55      55      54      53      53      52
##   [35,]      56      56      55      55      55      54      54      53      52
##   [36,]      56      56      55      55      56      55      54      53      53
##   [37,]      56      56      56      56      56      55      55      54      53
##   [38,]      56      57      56      56      56      56      55      54      53
##   [39,]      57      57      57      57      57      56      56      55      54
##   [40,]      57      57      57      58      58      57      56      56      55
##   [41,]      58      58      58      58      58      58      57      56      56
##   [42,]      58      58      58      59      59      58      58      57      56
##   [43,]      58      59      59      59      59      59      58      58      57
##   [44,]      59      59      59      60      60      60      59      58      58
##   [45,]      59      60      60      60      60      60      60      59      58
##   [46,]      60      60      60      60      60      60      60      60      60
##   [47,]      60      60      60      60      60      60      60      60      60
##   [48,]      59      60      60      60      60      60      60      60      60
##   [49,]      59      59      60      60      60      60      60      60      60
##   [50,]      59      59      59      60      60      60      60      60      60
##   [51,]      59      59      59      60      60      60      60      60      60
##   [52,]      59      59      59      59      60      60      60      60      60
##   [53,]      59      59      59      59      60      60      60      60      60
##   [54,]      59      59      59      59      60      60      60      60      60
##   [55,]      59      59      59      60      60      60      60      60      60
##   [56,]      59      59      59      59      60      60      60      60      60
##   [57,]      59      59      59      59      59      59      59      60      60
##   [58,]      59      59      59      59      59      59      59      59      60
##   [59,]      59      59      59      59      59      59      59      59      60
##   [60,]      60      60      60      60      60      60      60      60      60
##   [61,]      60      60      60      60      60      60      60      60      60
##   [62,]      60      60      60      60      60      60      60      60      60
##   [63,]      60      60      60      60      60      60      60      60      60
##   [64,]      60      60      60      60      60      60      60      60      60
##   [65,]      60      60      60      60      60      60      60      60      60
##   [66,]      60      60      60      60      60      60      60      60      60
##   [67,]      60      60      60      60      60      60      60      60      60
##   [68,]      60      60      60      60      60      60      60      60      60
##   [69,]      60      60      60      60      60      60      60      60      60
##   [70,]      60      60      60      60      60      60      60      60      60
##   [71,]      60      60      60      60      60      60      60      60      60
##   [72,]      60      60      60      60      60      60      60      60      60
##   [73,]      60      60      60      60      60      60      60      60      60
##   [74,]      60      60      60      60      60      60      60      60      60
##   [75,]      60      60      60      60      60      60      60      60      60
##   [76,]      60      60      60      60      60      60      60      60      60
##   [77,]      60      60      60      60      60      60      60      60      60
##   [78,]      60      60      60      60      60      60      60      60      60
##   [79,]      60      60      60      60      60      60      60      60      60
##   [80,]      60      60      60      60      60      60      60      60      60
##   [81,]      60      60      60      60      60      60      60      60      60
##   [82,]      60      60      60      60      60      60      60      60      60
##   [83,]      60      60      60      60      60      60      60      60      60
##         [,1178] [,1179] [,1180] [,1181] [,1182] [,1183] [,1184] [,1185] [,1186]
##    [1,]      36      38      39      40      40      39      38      38      37
##    [2,]      38      38      38      38      38      37      36      35      34
##    [3,]      38      38      37      37      37      35      34      33      32
##    [4,]      38      38      38      38      37      35      33      32      32
##    [5,]      38      38      38      38      38      35      33      32      32
##    [6,]      39      38      38      38      38      35      33      33      32
##    [7,]      39      39      39      38      38      35      34      33      32
##    [8,]      39      39      39      38      38      35      34      33      33
##    [9,]      40      39      39      39      38      35      34      33      33
##   [10,]      40      40      39      39      38      35      34      34      33
##   [11,]      40      40      39      39      38      36      35      34      33
##   [12,]      41      40      40      39      38      36      35      34      33
##   [13,]      41      40      40      39      38      36      35      34      33
##   [14,]      41      41      40      39      38      36      35      35      34
##   [15,]      42      41      40      39      38      37      36      35      34
##   [16,]      42      41      40      39      38      37      36      35      35
##   [17,]      42      41      41      39      38      37      37      36      35
##   [18,]      42      42      41      40      39      38      37      36      35
##   [19,]      43      42      41      40      39      38      37      37      36
##   [20,]      44      43      42      41      40      39      38      38      37
##   [21,]      44      44      43      42      41      40      39      39      38
##   [22,]      45      44      43      42      42      41      40      39      39
##   [23,]      45      45      44      43      42      42      41      40      39
##   [24,]      46      45      44      43      43      42      41      41      40
##   [25,]      46      46      45      44      43      42      42      41      41
##   [26,]      47      46      46      45      44      43      43      42      42
##   [27,]      48      47      46      45      45      44      44      43      42
##   [28,]      48      48      47      46      45      45      44      44      43
##   [29,]      49      48      47      46      46      45      45      44      43
##   [30,]      49      49      48      47      46      46      45      44      44
##   [31,]      50      49      48      47      47      46      46      45      44
##   [32,]      50      49      48      48      47      47      46      45      44
##   [33,]      51      50      49      48      48      47      46      46      45
##   [34,]      51      50      49      49      48      47      47      46      45
##   [35,]      51      51      50      49      48      48      47      47      46
##   [36,]      52      51      50      49      49      48      48      47      46
##   [37,]      52      51      51      50      49      49      48      47      46
##   [38,]      53      52      51      50      50      49      49      48      47
##   [39,]      54      53      52      51      51      50      49      49      48
##   [40,]      55      54      53      52      52      51      50      49      49
##   [41,]      55      54      53      53      52      52      51      50      49
##   [42,]      56      55      54      53      53      52      52      51      49
##   [43,]      56      55      54      54      53      53      52      51      50
##   [44,]      56      56      55      54      53      53      52      51      50
##   [45,]      57      56      55      55      54      53      52      51      50
##   [46,]      58      57      56      56      55      54      53      52      51
##   [47,]      60      59      58      58      57      56      55      54      53
##   [48,]      60      60      60      60      59      58      57      56      55
##   [49,]      60      60      60      60      60      60      59      59      58
##   [50,]      60      62      62      60      60      60      60      60      61
##   [51,]      61      64      67      64      60      60      60      60      60
##   [52,]      63      69      76      71      65      62      60      60      60
##   [53,]      65      74      88      77      70      65      61      60      60
##   [54,]      64      74      84      81      73      67      62      60      60
##   [55,]      60      60      65      72      71      67      62      60      60
##   [56,]      60      60      60      62      63      64      62      60      60
##   [57,]      60      60      60      60      61      61      61      60      60
##   [58,]      60      60      60      60      60      60      60      60      59
##   [59,]      60      60      60      60      60      60      60      60      60
##   [60,]      60      60      60      60      60      60      60      60      58
##   [61,]      60      60      60      60      60      60      60      60      57
##   [62,]      60      60      60      60      60      60      60      60      56
##   [63,]      60      60      60      60      60      60      60      60      55
##   [64,]      60      60      60      60      60      60      60      60      54
##   [65,]      60      60      60      60      60      60      60      60      53
##   [66,]      60      60      60      60      60      60      60      60      54
##   [67,]      60      60      60      60      60      60      60      60      54
##   [68,]      60      60      60      60      60      60      60      60      54
##   [69,]      60      60      60      60      60      60      60      60      54
##   [70,]      60      60      60      60      60      60      60      60      55
##   [71,]      60      60      60      60      60      60      60      60      57
##   [72,]      60      60      60      60      60      60      60      60      59
##   [73,]      60      60      60      60      60      60      60      60      60
##   [74,]      60      60      60      60      60      60      60      60      60
##   [75,]      60      60      60      60      60      60      60      60      60
##   [76,]      60      60      60      60      60      60      60      60      60
##   [77,]      60      60      60      60      60      60      60      60      60
##   [78,]      60      60      60      60      60      60      60      60      60
##   [79,]      60      60      60      60      60      60      60      60      60
##   [80,]      60      60      60      60      60      60      60      60      60
##   [81,]      60      60      60      60      60      60      60      60      60
##   [82,]      60      60      60      60      60      60      60      60      60
##   [83,]      60      60      60      60      60      60      60      60      60
##         [,1187] [,1188] [,1189] [,1190] [,1191] [,1192] [,1193] [,1194] [,1195]
##    [1,]      36      35      35      34      33      32      31      30      29
##    [2,]      34      33      33      32      32      31      29      29      28
##    [3,]      32      31      32      31      31      30      27      26      26
##    [4,]      32      31      31      31      30      29      26      26      26
##    [5,]      32      32      32      31      30      30      26      26      26
##    [6,]      32      32      31      31      30      29      26      26      26
##    [7,]      32      32      31      30      30      29      28      27      26
##    [8,]      32      31      31      30      30      29      28      27      27
##    [9,]      32      31      31      30      29      29      28      27      27
##   [10,]      32      32      31      30      29      29      28      27      27
##   [11,]      32      32      31      30      29      29      29      27      26
##   [12,]      32      32      31      30      29      29      28      28      27
##   [13,]      33      32      31      30      30      29      28      28      27
##   [14,]      33      32      31      30      30      29      28      28      27
##   [15,]      33      32      31      30      30      29      30      28      26
##   [16,]      34      33      32      31      30      30      30      28      26
##   [17,]      34      33      32      31      31      30      30      28      26
##   [18,]      34      33      32      32      31      31      28      28      28
##   [19,]      35      34      33      32      32      31      31      29      28
##   [20,]      36      35      34      33      33      32      32      30      29
##   [21,]      37      35      35      34      34      33      33      32      30
##   [22,]      37      36      36      35      35      34      33      33      32
##   [23,]      38      37      37      36      35      35      34      33      33
##   [24,]      39      38      38      37      36      36      35      34      34
##   [25,]      40      39      39      38      37      37      36      35      35
##   [26,]      41      40      39      39      38      38      37      37      37
##   [27,]      42      41      40      39      39      39      38      38      37
##   [28,]      42      41      40      40      40      39      39      38      38
##   [29,]      42      42      41      40      40      39      39      38      38
##   [30,]      43      42      41      41      40      40      39      39      38
##   [31,]      43      42      42      41      41      40      39      39      38
##   [32,]      43      43      42      42      41      40      39      39      39
##   [33,]      44      43      43      42      41      41      40      39      39
##   [34,]      44      44      43      42      42      41      40      39      39
##   [35,]      45      44      44      43      42      41      40      40      39
##   [36,]      45      45      44      43      43      42      41      40      40
##   [37,]      46      45      44      44      43      42      41      41      40
##   [38,]      46      46      45      44      44      43      42      41      41
##   [39,]      47      46      46      45      45      44      43      42      42
##   [40,]      48      47      47      46      46      45      44      44      43
##   [41,]      48      48      47      47      46      45      45      44      44
##   [42,]      49      48      48      47      46      46      45      44      44
##   [43,]      49      49      48      47      46      46      45      45      44
##   [44,]      49      49      48      47      46      45      45      44      43
##   [45,]      49      49      48      48      47      46      46      44      43
##   [46,]      51      50      49      49      48      47      44      44      44
##   [47,]      52      52      51      51      50      49      46      46      46
##   [48,]      55      55      55      54      54      53      50      49      49
##   [49,]      58      59      59      59      58      57      53      52      52
##   [50,]      60      60      60      59      59      58      58      56      56
##   [51,]      60      60      60      60      60      59      61      59      58
##   [52,]      60      60      60      60      60      60      59      59      59
##   [53,]      60      60      60      60      60      60      60      60      59
##   [54,]      60      60      60      60      60      60      60      60      60
##   [55,]      60      60      60      60      60      60      59      60      60
##   [56,]      60      60      60      60      60      60      60      60      60
##   [57,]      60      60      60      60      61      61      60      61      63
##   [58,]      60      60      60      61      61      62      62      65      66
##   [59,]      60      60      60      60      60      61      64      68      71
##   [60,]      59      60      62      64      66      68      73      75      78
##   [61,]      59      60      63      67      70      73      81      84      86
##   [62,]      58      60      65      70      74      79      90      93      96
##   [63,]      58      61      67      72      78      83      96      99     103
##   [64,]      58      61      68      75      82      88     102     107     110
##   [65,]      57      61      69      77      84      91     107     112     114
##   [66,]      57      61      70      77      85      92     103     111     116
##   [67,]      58      61      70      77      85      92     106     111     115
##   [68,]      57      61      69      77      84      91     105     111     115
##   [69,]      57      60      66      72      78      84      96     103     107
##   [70,]      57      60      63      67      72      76      84      89      94
##   [71,]      58      60      62      64      67      69      72      78      82
##   [72,]      59      60      61      62      63      64      62      68      71
##   [73,]      60      60      60      60      61      61      58      61      65
##   [74,]      60      60      60      60      60      60      56      59      62
##   [75,]      60      60      60      60      60      60      56      59      62
##   [76,]      60      60      60      60      60      60      56      59      62
##   [77,]      60      60      60      60      60      60      57      59      61
##   [78,]      60      60      60      60      60      60      57      59      61
##   [79,]      60      60      60      60      60      60      56      58      60
##   [80,]      60      60      60      60      60      60      56      58      60
##   [81,]      60      60      60      60      60      60      55      57      60
##   [82,]      60      60      60      60      60      60      55      57      60
##   [83,]      60      60      60      60      60      60      55      57      60
##         [,1196] [,1197] [,1198] [,1199] [,1200] [,1201]
##    [1,]      29      29      30      30      30      31
##    [2,]      29      29      29      30      30      31
##    [3,]      27      28      28      29      30      31
##    [4,]      27      28      29      30      31      32
##    [5,]      28      29      30      31      33      34
##    [6,]      28      30      31      33      37      37
##    [7,]      26      27      29      32      39      41
##    [8,]      27      28      30      33      40      43
##    [9,]      26      28      30      33      42      45
##   [10,]      26      28      30      33      42      45
##   [11,]      26      27      29      32      41      44
##   [12,]      26      26      27      29      38      41
##   [13,]      26      26      26      28      32      37
##   [14,]      26      26      26      28      31      36
##   [15,]      25      25      26      28      34      37
##   [16,]      25      25      26      28      34      37
##   [17,]      25      25      26      28      33      36
##   [18,]      29      29      30      31      33      35
##   [19,]      26      26      27      29      31      35
##   [20,]      27      27      28      30      32      36
##   [21,]      29      29      30      32      33      37
##   [22,]      32      31      31      32      36      38
##   [23,]      32      32      32      33      35      38
##   [24,]      33      32      32      33      35      38
##   [25,]      34      34      34      35      36      39
##   [26,]      36      36      36      37      38      40
##   [27,]      37      37      37      38      39      41
##   [28,]      37      37      37      38      39      41
##   [29,]      37      37      37      38      39      41
##   [30,]      38      37      37      38      39      41
##   [31,]      38      37      37      38      39      41
##   [32,]      38      38      38      39      40      42
##   [33,]      38      38      38      38      40      42
##   [34,]      38      38      38      39      40      43
##   [35,]      39      38      38      38      40      43
##   [36,]      39      39      38      38      41      43
##   [37,]      39      39      39      39      41      43
##   [38,]      40      40      40      40      42      44
##   [39,]      41      41      41      42      43      45
##   [40,]      43      43      43      44      45      47
##   [41,]      43      43      43      44      46      48
##   [42,]      43      43      44      44      46      48
##   [43,]      44      43      43      43      45      48
##   [44,]      42      41      42      43      44      48
##   [45,]      41      41      41      42      44      47
##   [46,]      44      44      45      45      45      47
##   [47,]      46      46      46      47      46      48
##   [48,]      49      49      49      49      48      50
##   [49,]      51      51      51      51      50      52
##   [50,]      55      54      54      53      53      54
##   [51,]      55      54      54      54      54      56
##   [52,]      58      58      58      58      58      59
##   [53,]      58      58      57      58      59      61
##   [54,]      59      59      59      59      60      62
##   [55,]      61      61      62      62      63      64
##   [56,]      62      62      63      64      66      67
##   [57,]      64      66      67      68      70      70
##   [58,]      68      69      71      72      74      75
##   [59,]      72      74      75      77      79      79
##   [60,]      80      81      82      83      83      83
##   [61,]      88      88      89      90      90      89
##   [62,]      97      97      98      98      98      96
##   [63,]     104     104     105     105     105     103
##   [64,]     110     110     111     111     111     109
##   [65,]     114     114     114     115     114     112
##   [66,]     119     122     122     122     119     115
##   [67,]     115     116     118     119     121     120
##   [68,]     115     117     118     120     121     122
##   [69,]     109     111     114     117     118     120
##   [70,]      98     102     106     110     113     117
##   [71,]      88      93      98     102     107     113
##   [72,]      78      84      90      96     100     107
##   [73,]      72      78      84      90      94     102
##   [74,]      69      74      80      86      91      99
##   [75,]      68      73      78      83      87      96
##   [76,]      67      71      76      81      84      92
##   [77,]      66      70      74      79      81      89
##   [78,]      66      70      73      77      79      87
##   [79,]      65      69      73      77      78      87
##   [80,]      64      68      72      77      78      87
##   [81,]      64      68      73      77      78      88
##   [82,]      64      68      73      78      79      89
##   [83,]      64      69      73      78      79      89
##  [ reached getOption("max.print") -- omitted 1118 rows ]

So, our RasterLayer object in many ways behaves like a matrix, much as a sf spatial dataframe object behaves like a data.frame.

Can we create a new RasterLayer object from a matrix?

test = raster(matrix(DEM[,], ncol = ncol(DEM), byrow = TRUE))
test

## class      : RasterLayer 
## dimensions : 1201, 1201, 1442401  (nrow, ncol, ncell)
## resolution : 0.0008326395, 0.0008326395  (x, y)
## extent     : 0, 1, 0, 1  (xmin, xmax, ymin, ymax)
## crs        : NA 
## source     : memory
## names      : layer 
## values     : 0, 976  (min, max)

We do get a new RasterLayer! However, notice that it has no crs defined, and thus it has an incorrect extent and resolution.

You can imagine that you could then use the DEM object’s information to assign the new RasterLayer its appropriate metadata

• We did a similar operation above with the unprojected point SFhomes data that we read in from a CSV and coerced to an sf object.

• We then used the SFtracts data, which has a defined crs to define the crs of the SFhomes spatial object.

BUT, it is easier than that…

Our subsetting operation can actually take a drop = FALSE argument!

DEM[1:5, 1:5]  # Bracket subsetting returns a vector

##  [1] 120 120 117 111 104 123 123 118 109 102 127 127 119 113 106 130 130 125 119
## [20] 113 130 131 128 123 120

DEM[1:5, 1:5, drop = FALSE]  #add drop=False and what do you get?

## class      : RasterLayer 
## dimensions : 5, 5, 25  (nrow, ncol, ncell)
## resolution : 0.0008333333, 0.0008333333  (x, y)
## extent     : -123.0004, -122.9963, 37.99625, 38.00042  (xmin, xmax, ymin, ymax)
## crs        : +proj=longlat +datum=NAD27 +no_defs 
## source     : memory
## names      : layer 
## values     : 102, 131  (min, max)

And this gives us back a new RasterLayer object! (i.e. it doesn’t drop the spatial)

In essence, this makes the subsetting operation more or less like a basic clipping function.

Check it out…

# go big to go home
test = DEM[1:500, 1:500, drop = FALSE]
plot(test)

# or
test = DEM[200:375, 525:800, drop = FALSE]
plot(test)

And now what does the @data@values slot look like in our new object now?

test@data@values

##     [1]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##    [19]  34  60  60  71  80  79  72  60  51  54  58  60  63  64  60  62  55  57
##    [37]  60  60  60  64  59  60  60  74  81  60  64  60  60  60  60  60  60  60
##    [55]  60  60  60  60  60  60  60  67  63  61  86  68  66  62  61  61  60  60
##    [73]  60  60  60  60  81 109 111 140 153 169 182 192 202 212 230 236 233 213
##    [91] 213 181 141 114  92  79  66  61  60  60  58  54  48  43  39  37  29  21
##   [109]  15   8   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [127]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [145]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [163]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [181]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [199]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [217]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [235]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [253]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [271]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [289]   0   0   0   0   0   0   7  23  35  52  63  66  64  46  35  39  47  57
##   [307]  60  61  61  54  49  51  54  55  55  55  56  58  60  60  60  64  60  60
##   [325]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  61  78  67
##   [343]  64  62  61  61  60  60  60  60  60 101 121 147 182 182 170 174 182 188
##   [361] 197 205 218 243 227 208 182 153 121 113  95  83  74  67  60  60  57  52
##   [379]  44  36  29  24  15  11   8   5   0   0   0   0   0   0   0   0   0   0
##   [397]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [415]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [433]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [451]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [469]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [487]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [505]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [523]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [541]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [559]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  20  37  60
##   [577]  24  17  17  24  34  44  48  52  49  42  40  44  49  50  51  52  53  56
##   [595]  58  59  59  59  60  59  59  59  60  60  60  60  60  60  60  60  60  60
##   [613]  60  60  60  60  70  65  63  62  61  60  60  60  81  99 111 130 144 163
##   [631] 176 181 181 180 169 171 186 189 195 193 200 196 182 158 121 112  99  89
##   [649]  80  72  66  61  58  52  40  29  19  11   2   2   2   1   0   0   0   0
##   [667]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [685]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [703]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [721]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [739]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [757]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [775]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [793]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [811]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [829]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [847]   0   0   0   0   6   0   0   0   8  15  25  35  39  43  42  36  36  40
##   [865]  45  47  48  49  51  54  57  58  59  59  59  59  59  59  60  60  60  60
##   [883]  60  60  60  60  60  60  60  60  60  60  60  63  62  61  61  60  60 101
##   [901] 121 147 182 158 168 182 179 181 182 182 148 121 146 152 172 164 182 182
##   [919] 185 182 150 118 106  96  86  77  69  63  60  60  38  23   9   0   0   0
##   [937]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [955]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [973]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##   [991]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1009]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1027]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1045]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1063]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1081]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1099]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1117]   0   0   0   0   0   0   0   0   0   0   0   1   0   0   0   3  12  22
##  [1135]  27  31  32  29  31  37  40  43  45  47  49  53  56  58  58  59  59  59
##  [1153]  59  59  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
##  [1171]  61  61  77  91 117 127 141 167 179 181 183 182 182 181 175 148 131 119
##  [1189] 114 112 112 110 111 142 169 182 175 136 114 102  91  80  69  62  60  44
##  [1207]  32  17   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1225]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1243]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1261]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1279]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1297]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1315]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1333]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1351]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1369]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1387]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1405]   0   0   0   0   0   8  15  20  23  21  25  32  35  39  41  44  47  51
##  [1423]  55  57  58  59  59  59  59  59  60  60  60  60  60  60  60  60  60  60
##  [1441]  60  60  60  60  60  60  60  83 101 121 135 141 151 168 182 182 185 186
##  [1459] 183 182 148 121 113 102  92  82  83  74  60 101 121 161 182 162 121 106
##  [1477]  92  78  60  61  57  43  29  14   0   0   0   0   0   0   0   0   0   0
##  [1495]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1513]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1531]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1549]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1567]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1585]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1603]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1621]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1639]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1657]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1675]   0   0   0   0   0   0   0   0   0   0   0   0   3  10  14  14  19  27
##  [1693]  31  35  38  41  45  50  54  57  58  58  59  59  59  59  60  60  60  60
##  [1711]  60  60  60  60  60  60  60  60  60  60  60  60  79 104 132 145 151 157
##  [1729] 163 176 181 195 196 198 182 162 127 112  98  84  67  63  65  60  60  71
##  [1747] 121 141 162 164 127 117  98  81  60  60  56  42  28  15   7   0   0   0
##  [1765]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1783]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1801]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1819]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1837]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1855]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1873]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1891]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1909]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1927]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1945]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [1963]   0   0   5   8  14  21  26  31  35  39  43  49  54  56  58  58  59  59
##  [1981]  60  60  60  60  60  60  60  60  60  60  60  60  60  70  78  84 101 121
##  [1999] 121 138 162 165 169 172 175 189 223 243 231 243 203 182 121 108  92  78
##  [2017]  60  60  58  56  57  79 121 131 142 132 127 125 115  97  80  60  53  41
##  [2035]  28  16   7   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2053]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2071]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2089]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2107]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2125]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2143]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2161]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2179]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2197]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2215]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2233]   0   0   0   0   0   0   0   0   0   1   8  17  22  27  32  37  41  47
##  [2251]  53  56  58  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
##  [2269]  70  85 101 114 133 169 179 182 182 182 182 182 182 206 234 240 242 225
##  [2287] 223 182 136 107  93  77  60  60  55  54  54  56  60 121 123 121 121 123
##  [2305] 123 121 102  68  55  38  26  14   5   0   0   0   0   0   0   0   0   0
##  [2323]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2341]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2359]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2377]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2395]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2413]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2431]   0   0   0   0   0   0   0   1   1   1   0   0   0   0   0   0   0   0
##  [2449]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2467]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2485]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2503]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   3  13
##  [2521]  19  25  30  35  41  48  54  58  60  60  60  60  60  60  60  60  60  60
##  [2539]  60  60  60  60  60  60  79  97 121 118 142 156 182 181 182 182 182 182
##  [2557] 182 201 216 226 243 202 213 165 121 112  98  81  65  60  49  45  42  43
##  [2575]  53  71  83  76  81 108 122 112 106  72  48  28  15   4   0   0   0   0
##  [2593]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2611]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2629]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2647]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2665]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2683]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2701]   0   0   0   0   0   0   0   0   0   0   0   0   1   1   1   1   1   0
##  [2719]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2737]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2755]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2773]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2791]   0   0   0   0   5  13  19  25  31  37  42  50  57  60  60  60  60  60
##  [2809]  60  60  60  60  60  60  60  60  60  60  60  60  76  90 100 121 133 142
##  [2827] 171 182 164 162 162 173 182 193 203 210 197 182 168 143 130 121 109  88
##  [2845]  71  60  39  28  20  19  24  26  39  40  49  60  60  85  74  46  20   0
##  [2863]   0   2   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2881]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2899]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2917]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2935]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2953]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2971]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [2989]   1   2   2   2   1   1   1   0   0   0   0   0   0   0   0   0   0   0
##  [3007]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3025]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3043]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3061]   0   0   0   0   0   0   0   0   0   0   8  15  21  27  33  39  46  54
##  [3079]  60  60  60  60  60  60  49  51  60  60  60  20  30  60  60  60  60  60
##  [3097]  65  69  72  82  91 111 130 119 133 132 131 146 161 179 186 187 182 161
##  [3115] 144 123 117 123 104  84  65  51  25   5   1   0   0   0   9  10  12  13
##  [3133]  20  37  30   7   0   2   0   0   0   0   0   0   0   0   0   0   0   0
##  [3151]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3169]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3187]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3205]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3223]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3241]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3259]   0   0   0   0   0   0   1   2   2   3   2   2   1   1   0   0   0   0
##  [3277]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3295]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3313]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3331]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8  18
##  [3349]  24  30  36  43  49  58  59  60  60  60  60  53  37  33  17   0   0   3
##  [3367]   0   0   0   0  20   0  15  39  48  60  53  60  72  95  90  91 109 121
##  [3385] 137 159 182 183 182 142 121 103  95  78  60  60  45  30   7   2   0   0
##  [3403]   0   0   0   0   0   0   0   0   3   0   0   0   0   0   0   0   0   0
##  [3421]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3439]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3457]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3475]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3493]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3511]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3529]   0   0   0   0   0   0   0   0   0   0   0   1   2   3   3   4   3   2
##  [3547]   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3565]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3583]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3601]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3619]   0   0   0   0   8  18  24  32  39  47  58  60  60  60  60  60  53  34
##  [3637]  17   6   1   2   0   0   0   0   0   0   0   2   0   8  12  10  15  14
##  [3655]  41  64  57  59  72  97 113 133 145 152 132 105  95  82  67  51  41  28
##  [3673]  20   7   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3691]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3709]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3727]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3745]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3763]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3781]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3799]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1
##  [3817]   2   3   4   5   4   3   1   1   0   0   0   0   0   0   0   0   0   0
##  [3835]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3853]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3871]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3889]   0   0   0   0   0   0   0   0   0   0   6  15  22  29  36  43  55  60
##  [3907]  60  60  50  42  34  17   0   2   0   0   0   0   0   0   0   0   0   0
##  [3925]   0   0   0   0   0   0   0  19  42  51  60  72  89 113 121 103  81  60
##  [3943]  60  60  26  24  13   0   0   2   0   0   0   0   0   0   0   0   0   0
##  [3961]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3979]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [3997]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4015]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4033]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4051]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4069]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4087]   0   0   0   0   0   1   2   3   4   3   3   3   2   1   0   0   0   0
##  [4105]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4123]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4141]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4159]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   8
##  [4177]  15  22  28  33  43  53  51  41  33  24  15   3   1   0   0   0   0   0
##  [4195]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8  32  59  60
##  [4213]  67  74  72  71  54  42  30   6   0   0   0   1   0   0   0   0   0   0
##  [4231]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4249]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4267]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4285]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4303]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4321]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4339]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4357]   0   0   0   0   0   0   0   0   0   0   0   1   2   3   3   3   2   1
##  [4375]   1   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4393]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4411]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4429]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4447]   0   0   0   0   0   0   6  13  18  22  29  34  30  24  17   9   0   1
##  [4465]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [4483]   0   0   0   0  36  60  60  52  40  34  32  23  10   0   0   0   0   0
##  [4501]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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##  [7831]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [7849]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [7867]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [7885]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [7903]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [7921]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [7939]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [7957]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [7975]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [7993]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8011]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8029]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8047]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8065]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8083]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8101]   0   0   0   0   0   0   0   0   0   2   3   1   0   0   0   0   0   0
##  [8119]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8137]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8155]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8173]   0   0   0   0   0   0   5   4   0   0   0   0   0   0   0   0   0   0
##  [8191]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8209]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8227]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8245]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8263]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8281]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8299]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8317]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8335]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8353]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8371]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   6   8   7
##  [8389]   4   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8407]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8425]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8443]   0   0   0   0   0   0   0   0   0   0   0  11  11   9   4   2   2   1
##  [8461]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8479]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8497]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8515]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8533]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8551]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8569]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8587]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8605]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8623]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8641]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8659]   0   0   7  12  16  16  13  13   8   4   1   0   0   0   0   0   0   0
##  [8677]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8695]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   1   0   0
##  [8713]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   7  16
##  [8731]  16  15  10   9   8   6   5   4   1   0   0   0   0   0   0   0   0   0
##  [8749]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8767]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8785]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8803]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8821]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8839]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8857]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8875]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8893]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8911]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8929]   0   0   0   0   0   0   0   0  13  20  24  24  24  25  20  13   5   0
##  [8947]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8965]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [8983]   0   3   5   5   3   1   0   0   0   0   0   0   2   3   1   0   0   0
##  [9001]   0   0   3  10  15  24  23  21  16  15  15  12  12  11   8   7   5   3
##  [9019]   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9037]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9055]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9073]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9091]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9109]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9127]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9145]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9163]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9181]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9199]   0   0   0   0   0   0   0   0   0   0   0   0   0   4  19  28  32  34
##  [9217]  35  38  30  20  12   6   2   0   0   0   0   0   0   0   0   0   0   0
##  [9235]   0   0   0   0   0   0   0   0   0   0   0   1   3   4   4   4   4   3
##  [9253]   2   1   0   0   2   2   3   5   7   7   6   4   3   2   2   2   3   4
##  [9271]   7   7   6   5   7   5   6   7  13  18  24  32  29  27  23  21  21  19
##  [9289]  18  17  16  15  13  12   9   4   0   0   0   0   0   0   0   0   0   0
##  [9307]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9325]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9343]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9361]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9379]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9397]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9415]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9433]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9451]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9469]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9487]   0  11  27  37  41  44  47  51  42  29  19  13   8   4   0   0   0   0
##  [9505]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   2   3   6
##  [9523]   7   8   8   8   8   7   6   5   4   5   6   6   8   9  11  11  10   8
##  [9541]   7   7   7   7   7   9  12  13  12  12  14  14  14  18  23  28  33  39
##  [9559]  36  32  29  28  27  25  25  24  23  23  22  21  19  15   8   2   0   0
##  [9577]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9595]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9613]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9631]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9649]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9667]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9685]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9703]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9721]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9739]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9757]   0   0   0   0   0   0   0  18  38  47  50  53  58  59  53  36  24  18
##  [9775]  14  10   8   7   7   7   4   1   0   0   0   1   0   0   0   2   2   3
##  [9793]   3   3   4   5   6  10  10  11  11  10  10  10  10   9   8  10  10  10
##  [9811]  12  13  15  15  14  12  11  11  11  11  12  14  17  19  18  19  21  21
##  [9829]  23  28  32  37  42  46  42  38  35  34  33  32  32  32  31  31  30  30
##  [9847]  29  26  24  17  13   5   0   0   0   0   0   0   0   0   0   0   0   0
##  [9865]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9883]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9901]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9919]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9937]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9955]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9973]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
##  [9991]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10009]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10027]   0   0   0   0   0   0   0   0   0   0   0   0  24  40  60  60  60  60
## [10045]  59  60  60  41  29  24  20  17  15  15  15  15  12   8   5   3   5   5
## [10063]   4   4   6   7   7   7   7   7   9  10  11  15  15  15  15  15  15  15
## [10081]  14  13  12  14  14  15  16  17  19  18  17  16  15  16  16  16  17  19
## [10099]  22  24  25  26  28  30  33  37  41  46  51  53  48  44  41  40  40  39
## [10117]  39  39  39  39  39  39  39  38  40  34  28  20  12   5   0   0   0   0
## [10135]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10153]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10171]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10189]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10207]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10225]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10243]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10261]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10279]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10297]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10315]  30  60  60  60  60  60  60  60  60  43  33  28  24  21  20  20  21  20
## [10333]  17  12  10   8   9   9   9   9  11  11  12  12  12  12  14  14  16  19
## [10351]  20  20  19  19  19  18  18  17  17  18  18  19  20  21  23  22  21  20
## [10369]  20  20  20  21  22  24  27  30  32  33  36  39  42  47  50  55  60  60
## [10387]  53  50  47  46  46  46  46  47  47  47  48  49  49  51  57  50  42  34
## [10405]  25  19   7   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10423]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10441]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10459]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10477]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10495]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10513]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10531]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10549]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10567]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10585]   0   0   0   0   0  18  33  47  60  60  60  60  60  60  59  45  37  34
## [10603]  31  28  27  27  29  28  24  19  16  13  14  14  14  14  16  17  16  17
## [10621]  17  17  18  19  21  24  24  24  23  23  23  23  23  21  21  22  23  23
## [10639]  24  25  26  26  25  24  24  24  25  26  27  29  32  36  38  40  42  45
## [10657]  49  54  58  60  59  60  59  56  54  53  52  52  52  52  52  52  53  54
## [10675]  55  56  59  60  51  43  34  27  12   3   0   0   0   0   0   0   0   0
## [10693]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10711]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10729]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10747]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10765]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10783]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10801]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10819]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10837]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10855]   0   0   0   0   0   0   0   0   0   0   0  17  35  51  60  60  60  60
## [10873]  60  60  59  47  42  40  38  35  35  35  37  36  31  25  21  19  19  19
## [10891]  19  19  21  21  21  21  21  21  23  24  26  29  29  28  28  27  27  27
## [10909]  27  25  25  26  27  27  28  29  30  30  29  28  28  29  29  30  32  34
## [10927]  37  40  43  45  47  49  54  60  60  60  60  60  60  60  59  58  57  56
## [10945]  56  56  56  56  56  57  57  59  60  60  60  56  47  38  18   8   4   1
## [10963]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10981]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [10999]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11017]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11035]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11053]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11071]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11089]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11107]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11125]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8  24
## [11143]  42  60  60  60  60  60  60  60  60  51  48  46  44  42  43  42  46  43
## [11161]  37  31  27  24  24  25  24  24  25  26  26  26  26  26  28  28  31  34
## [11179]  33  32  32  31  31  31  31  30  30  30  31  31  32  33  34  33  33  32
## [11197]  33  33  34  35  37  39  41  44  46  48  50  52  55  59  60  60  60  60
## [11215]  60  60  60  59  59  58  58  58  57  58  58  58  59  59  60  60  60  60
## [11233]  60  48  22  13   9   5   2   0   0   0   0   0   0   0   0   0   0   0
## [11251]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11269]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11287]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11305]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11323]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11341]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11359]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11377]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11395]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11413]   0   0   0   0  17  35  49  60  60  60  60  60  60  60  59  55  54  52
## [11431]  51  50  49  50  54  51  44  37  32  30  30  30  29  29  30  30  31  31
## [11449]  31  31  32  33  36  39  38  37  36  35  35  35  35  34  34  35  35  35
## [11467]  36  37  38  37  37  37  37  38  39  40  41  42  45  47  48  50  51  53
## [11485]  56  58  60  60  60  60  60  60  60  60  60  60  60  59  59  59  59  59
## [11503]  59  60  60  60  60  60  60  57  26  16  13   9   6   3   0   0   0   0
## [11521]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11539]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11557]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11575]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11593]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11611]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11629]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11647]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11665]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11683]   0   0   0   0   0   0   0   0   0   7  23  42  60  59  60  60  60  60
## [11701]  60  60  60  60  59  58  57  56  56  57  60  58  50  43  38  35  35  35
## [11719]  34  34  35  35  35  35  36  36  37  38  41  43  42  41  40  40  39  39
## [11737]  39  38  38  39  39  39  40  41  41  41  41  41  42  42  42  43  44  45
## [11755]  47  49  49  51  52  53  56  58  59  60  60  60  60  60  60  60  60  60
## [11773]  60  60  60  60  60  60  60  60  60  60  60  60  60  38  28  21  17  13
## [11791]  10   7   3   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11809]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11827]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11845]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11863]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11881]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11899]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11917]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11935]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [11953]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  17  33  49
## [11971]  60  60  60  60  60  60  60  60  60  60  60  60  60  59  59  60  60  60
## [11989]  56  49  43  40  40  40  39  39  40  40  40  40  40  41  42  43  46  48
## [12007]  46  45  44  44  43  43  43  42  42  43  43  44  44  44  45  45  45  45
## [12025]  46  47  46  47  48  49  50  51  52  53  54  55  56  58  59  60  60  60
## [12043]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [12061]  60  41  31  25  21  17  14  11   7   3   1   0   0   0   0   0   0   0
## [12079]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12097]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12115]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12133]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12151]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12169]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12187]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12205]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12223]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12241]   0   0   0  19  37  54  60  60  60  60  60  60  60  60  60  60  60  60
## [12259]  60  60  60  60  60  60  60  55  48  46  45  45  44  44  44  44  45  45
## [12277]  45  46  46  48  51  53  51  49  48  48  46  46  46  45  45  46  46  46
## [12295]  46  47  47  47  47  48  49  50  50  51  51  52  53  53  54  54  55  56
## [12313]  57  58  59  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [12331]  60  60  60  60  60  59  58  44  35  29  25  21  18  15  10   6   4   1
## [12349]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12367]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12385]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12403]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12421]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12439]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12457]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12475]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12493]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12511]   0   0   0   0   0   0   0   0  11  18  33  47  60  60  60  60  60  60
## [12529]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  53  51  50  50
## [12547]  49  49  49  49  49  49  50  50  51  52  56  57  55  53  53  52  50  50
## [12565]  50  49  50  50  50  50  51  51  51  51  51  52  54  55  55  55  55  55
## [12583]  55  56  56  56  57  57  58  58  59  59  60  60  60  60  60  60  60  60
## [12601]  60  60  60  60  60  60  60  60  60  59  59  58  57  48  40  33  29  25
## [12619]  22  18  14   9   7   4   2   0   0   0   0   0   0   0   0   0   0   0
## [12637]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12655]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12673]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12691]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12709]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12727]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12745]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12763]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12781]   0   0   0   0   0   0   0   0   0   0   0   0   0   0  11  23  34  45
## [12799]  55  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [12817]  60  60  58  56  54  53  53  53  52  52  53  53  53  54  54  56  59  60
## [12835]  57  56  56  55  55  54  54  54  54  54  55  55  55  55  55  55  56  57
## [12853]  58  60  59  59  58  58  58  58  58  58  58  58  58  59  59  59  60  60
## [12871]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59  58  57
## [12889]  55  52  44  37  33  29  26  22  17  13  10   7   4   2   0   0   0   0
## [12907]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12925]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12943]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12961]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12979]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [12997]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13015]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13033]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13051]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13069]   0   0  14  26  37  49  60  60  60  60  60  60  60  60  60  60  60  60
## [13087]  60  60  60  60  60  60  60  60  60  60  58  57  57  56  56  56  56  56
## [13105]  56  57  57  59  60  60  60  60  59  58  58  57  57  58  59  59  59  58
## [13123]  58  58  58  58  58  60  60  60  60  60  60  60  59  59  59  59  59  59
## [13141]  59  59  59  59  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [13159]  60  60  59  58  57  55  54  49  43  40  36  32  28  25  20  16  13  10
## [13177]   6   3   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13195]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13213]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13231]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13249]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13267]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13285]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13303]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13321]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13339]   0   0   0   0   0   0   0   5  20  31  43  56  60  60  60  60  60  60
## [13357]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59
## [13375]  59  59  58  58  58  58  58  58  58  59  60  60  61  60  60  60  60  60
## [13393]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [13411]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [13429]  60  60  60  60  60  60  60  60  58  57  55  54  52  48  43  40  37  33
## [13447]  30  27  22  18  15  12   8   6   3   0   0   0   0   0   0   0   0   0
## [13465]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13483]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13501]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13519]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13537]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13555]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13573]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13591]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13609]   0   0   0   0   0   0   0   0   0   0   0   0   0   6  24  36  47  60
## [13627]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [13645]  60  60  60  60  60  60  60  60  60  59  59  59  59  59  59  59  60  60
## [13663]  61  61  61  61  61  60  60  60  60  60  60  60  60  60  60  60  60  60
## [13681]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [13699]  60  60  60  60  60  60  60  60  60  60  60  60  60  59  57  56  55  53
## [13717]  51  47  43  40  37  34  31  28  24  19  16  14  11   8   5   1   0   0
## [13735]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13753]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13771]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13789]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13807]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13825]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13843]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13861]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13879]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [13897]   0   6  25  36  48  60  60  60  60  60  60  60  60  60  60  60  60  60
## [13915]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [13933]  59  59  59  60  60  62  62  62  62  61  61  61  60  60  60  60  60  60
## [13951]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [13969]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [13987]  60  58  56  55  53  52  50  46  42  39  37  34  31  28  24  20  17  15
## [14005]  12  10   6   3   1   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14023]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14041]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14059]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14077]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14095]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14113]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14131]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14149]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14167]   0   0   0   0   0   0   0  14  26  36  47  57  60  60  60  60  60  60
## [14185]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [14203]  60  60  60  60  60  60  60  60  60  60  62  64  64  63  62  62  61  61
## [14221]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [14239]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [14257]  60  60  60  60  60  60  60  58  55  53  52  50  48  45  41  39  36  34
## [14275]  31  28  25  21  18  16  14  11   8   4   2   0   0   0   0   0   0   0
## [14293]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14311]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14329]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14347]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14365]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14383]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14401]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14419]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14437]   0   0   0   0   0   0   0   0   0   0   0   0   7  20  28  35  44  50
## [14455]  56  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [14473]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  64  65
## [14491]  64  64  63  62  62  61  61  60  60  60  60  60  60  60  60  60  60  60
## [14509]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [14527]  60  60  60  60  60  60  60  60  60  60  60  60  59  57  54  52  50  49
## [14545]  47  44  40  38  35  33  31  28  25  21  19  16  14  12   8   5   3   1
## [14563]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14581]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [14707]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   4
## [14725]  10  20  26  33  40  47  53  59  60  60  60  60  60  60  60  60  60  60
## [14743]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  61  62  62
## [14761]  62  62  62  64  66  66  65  64  64  63  62  61  61  60  60  60  60  60
## [14779]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [14797]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59
## [14815]  58  55  53  51  49  47  46  42  39  37  35  32  30  28  24  21  19  17
## [14833]  14  12   9   6   3   1   0   0   0   0   0   0   0   0   0   0   0   0
## [14851]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14869]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14887]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14905]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14923]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [14977]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [14995]   0   0   0   3   5   7  13  21  27  33  39  45  51  58  60  60  60  60
## [15013]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [15031]  60  60  60  61  63  64  65  66  66  67  68  67  66  65  64  63  62  61
## [15049]  61  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [15067]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [15085]  60  60  60  60  59  58  56  54  51  49  48  46  44  41  38  35  33  31
## [15103]  29  26  23  21  18  16  14  12   9   6   4   2   0   0   0   0   0   0
## [15121]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15139]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15157]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15175]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15193]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15211]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15229]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15247]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15265]   0   0   0   0   0   0   0   2   5   7   9  11  17  24  30  35  40  46
## [15283]  51  58  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [15301]  60  60  60  60  60  60  60  60  60  62  66  68  69  70  70  70  69  68
## [15319]  67  66  65  63  62  61  61  60  60  60  60  60  60  60  60  60  60  60
## [15337]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [15355]  60  60  60  60  60  60  59  59  59  58  58  57  55  53  50  48  46  45
## [15373]  42  40  36  34  32  30  28  25  22  20  18  16  14  12   9   7   4   3
## [15391]   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15409]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15427]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15445]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15463]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15481]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15499]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15517]   0   0   0   0   0   0   0   0   0   0   0   2   0  17  19  20  22  21
## [15535]   0   0   0   0   0   0   0   0   0   0   0   0   4   7  10  11  13  15
## [15553]  20  28  33  38  43  48  53  58  59  60  60  60  60  60  60  60  60  60
## [15571]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  66  69  71
## [15589]  74  75  74  73  71  70  69  67  66  64  62  61  61  60  60  60  60  60
## [15607]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [15625]  60  60  60  60  60  60  60  60  60  60  60  59  59  58  58  57  56  55
## [15643]  53  50  48  47  45  43  41  38  35  33  31  29  28  25  22  20  18  16
## [15661]  14  12   9   7   5   3   1   0   0   0   0   0   0   0   0   0   0   0
## [15679]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15697]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15715]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15733]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15751]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15769]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15787]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   7  18  28
## [15805]  37  48  50  50  52  60  66  45  40  17  15  10  10  10  13  16  12  11
## [15823]  10  12  14  16  17  19  24  32  37  41  46  51  54  58  60  60  60  60
## [15841]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [15859]  60  60  60  67  71  74  77  78  77  75  73  71  70  68  66  64  62  61
## [15877]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [15895]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59  59  59  59
## [15913]  58  57  57  56  55  54  51  49  47  45  43  42  40  37  34  32  30  28
## [15931]  27  24  21  19  17  16  14  12   9   7   5   3   1   0   0   0   0   0
## [15949]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15967]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [15985]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16003]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16021]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16039]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16057]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16075]   0   0  17  24  37  49  60  96 121 121  91  90  94  85  73  60  60  41
## [16093]  40  40  43  37  23  19  16  17  19  20  21  23  27  35  40  44  49  53
## [16111]  56  58  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [16129]  60  60  60  60  60  60  60  60  60  70  75  78  82  83  81  78  75  73
## [16147]  71  69  67  65  62  60  60  60  60  60  60  60  60  60  60  60  60  60
## [16165]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59
## [16183]  59  59  59  59  58  58  57  56  56  55  54  53  50  48  46  44  42  40
## [16201]  38  36  33  31  29  28  26  23  20  19  17  15  14  12   9   7   5   3
## [16219]   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16237]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16255]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16273]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16291]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16309]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16327]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16345]   0   0   0   0   0   0  10  25  35  42  51  74 121 121 118 120 121 116
## [16363] 120 112 109  95  74  65  62  61  60  55  32  25  22  22  23  24  25  26
## [16381]  31  38  43  47  51  54  56  59  59  60  60  60  60  60  60  60  60  60
## [16399]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  73  78  82
## [16417]  86  87  85  81  78  76  74  71  69  66  62  60  60  60  60  60  60  60
## [16435]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [16453]  60  60  60  60  60  59  59  59  58  58  58  57  56  55  55  54  53  51
## [16471]  49  46  44  42  41  39  37  35  32  30  28  27  25  23  20  18  16  15
## [16489]  13  12   9   7   5   3   2   0   0   0   0   0   0   0   0   0   0   0
## [16507]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16525]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16543]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16561]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16579]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16597]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16615]   0   0   0   0   0   0   0   0   0   0   0  24  36  47  60  60  58  90
## [16633] 104 121 121 121 121 121 121 120 121 121  89  75  68  64  61  60  38  31
## [16651]  27  27  28  28  29  30  34  41  46  49  53  55  58  59  59  59  60  60
## [16669]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [16687]  60  60  60  76  82  87  91  92  89  85  82  79  77  74  72  68  64  60
## [16705]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [16723]  60  60  60  60  60  60  60  60  60  60  60  59  58  58  58  58  57  56
## [16741]  55  54  53  52  51  50  47  45  43  42  40  38  36  34  31  30  28  26
## [16759]  24  22  20  18  16  14  13  11   9   7   5   3   2   0   0   0   0   0
## [16777]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16795]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16813]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16831]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16849]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16867]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [16885]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  13  32  50
## [16903]  58  62  64  67  69  89 104 115 121 121 121 121 121 121 121 103  94  82
## [16921]  72  66  61  58  40  34  31  30  31  31  32  32  36  43  47  51  53  56
## [16939]  58  59  59  59  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [16957]  60  60  60  60  60  60  60  60  60  80  86  91  96  96  94  90  86  84
## [16975]  81  78  75  71  66  64  60  60  60  60  60  60  60  60  60  60  60  60
## [16993]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59  59
## [17011]  58  57  57  57  56  55  54  53  52  51  50  49  46  44  42  40  39  37
## [17029]  35  33  30  29  27  26  24  21  19  17  16  14  12  10   8   6   5   3
## [17047]   2   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17065]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17083]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17101]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17119]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17137]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17155]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17173]   0   0  20  30  53  57  60  65  73  79  90 106 110 121 120 121 121 121
## [17191] 121 121 121 110 100  88  76  68  63  60  44  39  35  35  35  35  35  36
## [17209]  39  46  49  52  54  56  58  58  59  59  59  59  60  60  60  60  60  60
## [17227]  60  60  60  60  60  60  60  60  60  60  60  60  61  62  71  85  90  96
## [17245] 102 101  99  95  91  89  86  83  80  75  70  67  64  62  60  60  60  60
## [17263]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [17281]  60  60  60  60  59  58  58  57  57  56  56  55  53  52  51  50  49  48
## [17299]  45  43  41  39  38  36  34  32  29  28  26  25  23  21  18  17  15  14
## [17317]  12  10   7   6   5   3   2   0   0   0   0   0   0   0   0   0   0   0
## [17335]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17353]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17371]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17389]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [17425]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17443]   0   0   0   0   0   0   0  16  32  54  59  60  60  70  81  91 103 121
## [17461] 121 119 121 121 121 121 121 121 121 115 106  91  78  70  63  60  49  44
## [17479]  41  39  39  39  39  40  43  49  51  53  55  56  57  58  59  59  59  59
## [17497]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  61
## [17515]  63  65  75  89  94 100 107 106 103 100  97  94  91  88  84  79  74  71
## [17533]  68  65  62  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [17551]  60  60  60  60  60  60  60  60  60  60  59  58  57  57  56  56  55  54
## [17569]  52  51  50  49  48  46  44  42  40  39  37  35  33  30  28  27  25  24
## [17587]  22  20  18  16  15  13  12   9   7   6   4   3   2   0   0   0   0   0
## [17605]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17623]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [17713]   0   0   0   0   0   0   0   0   0   0   0   0  14  23  41  60  60  60
## [17731]  60  72  83  94 110 120 120 121 121 121 121 121 121 121 121 119 112  93
## [17749]  78  69  63  58  54  49  46  44  43  43  43  43  46  50  53  54  56  56
## [17767]  57  58  58  59  59  59  59  60  60  60  60  60  60  60  60  60  60  60
## [17785]  60  60  60  60  60  62  65  69  79  92  98 104 112 110 107 105 103  99
## [17803]  96  92  89  83  78  74  71  68  65  61  60  60  60  60  60  60  60  60
## [17821]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59  58
## [17839]  57  56  56  55  54  53  51  50  49  48  46  45  43  40  39  37  36  34
## [17857]  32  29  28  26  24  23  21  19  17  15  14  12  11   9   7   5   4   3
## [17875]   2   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17893]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17911]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17929]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [17965]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [17983]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [18001]  14  28  41  60  60  60  60  72  82  92 103 113 121 118 121 121 121 121
## [18019] 121 121 121 121 121  94  77  69  65  63  60  55  51  49  48  47  47  47
## [18037]  49  52  54  55  56  56  57  58  58  59  59  59  59  60  60  60  60  60
## [18055]  60  60  60  60  60  60  60  60  60  60  60  64  68  74  84  95 102 109
## [18073] 118 116 115 113 110 105 101  97  93  87  81  78  74  71  67  63  60  60
## [18091]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [18109]  60  60  60  60  59  57  56  56  55  54  53  52  50  49  48  46  45  44
## [18127]  41  39  37  36  34  33  31  28  27  25  24  22  21  18  16  14  13  12
## [18145]  10   8   6   5   4   2   1   0   0   0   0   0   0   0   0   0   0   0
## [18163]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [18271]   0   0   0   0   0   0  11  23  36  46  58  60  60  71  80  87  95 102
## [18289] 102 106 107 108 108 109 112 116 117 116 103  89  76  69  65  63  62  60
## [18307]  55  53  52  51  50  50  51  53  54  55  56  56  57  58  58  58  59  59
## [18325]  59  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  65
## [18343]  71  78  88  98 106 113 121 121 121 121 118 112 106 100  96  90  84  80
## [18361]  76  73  69  64  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [18379]  60  60  60  60  60  60  60  60  60  60  59  57  56  55  54  53  53  51
## [18397]  49  48  46  45  44  42  40  38  36  35  33  32  29  27  25  24  22  21
## [18415]  19  17  15  14  12  11   9   7   6   4   3   2   1   0   0   0   0   0
## [18433]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [18541]   0   0   0   0   0   0   0   0   0   0   0   0   5  14  27  37  50  60
## [18559]  60  69  75  80  84  89  90  94  95  95  96  96  99 102 104 103  94  83
## [18577]  74  69  66  64  63  61  60  57  56  55  54  54  54  54  55  55  56  56
## [18595]  57  57  58  58  59  59  59  60  60  60  60  60  60  60  60  60  60  60
## [18613]  60  60  60  60  60  67  74  81  91 101 108 114 117 121 121 121 121 116
## [18631] 110 104  99  92  86  82  78  75  71  66  61  60  60  60  60  60  60  60
## [18649]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59  58  57
## [18667]  55  55  54  53  52  50  48  46  45  44  42  41  39  36  35  33  32  30
## [18685]  28  26  24  23  21  20  18  16  14  12  11  10   8   6   5   3   2   1
## [18703]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [18721]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [18739]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [18757]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [18775]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [18793]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [18811]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [18829]   0   3  16  32  46  54  60  65  69  72  73  75  79  82  82  82  83  84
## [18847]  85  89  93  93  87  79  73  69  67  65  64  62  61  60  60  59  58  57
## [18865]  56  56  56  56  56  57  57  58  58  59  59  60  60  60  60  60  60  60
## [18883]  61  62  62  61  60  60  60  60  60  60  60  68  76  83  93 103 109 115
## [18901] 117 119 121 121 117 114 110 105 101  94  88  84  80  76  73  67  63  62
## [18919]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [18937]  60  60  60  59  58  56  55  54  53  52  51  49  47  45  44  42  41  39
## [18955]  37  35  33  32  30  29  26  24  23  21  20  18  17  15  12  11  10   8
## [18973]   7   5   3   2   1   0   0   0   0   0   0   0   0   0   0   0   0   0
## [18991]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19009]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19027]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19045]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19063]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19081]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19099]   0   0   0   0   0   0   0   0   9  25  40  49  55  60  62  63  62  60
## [19117]  67  70  69  69  70  72  71  76  81  84  82  78  73  71  68  66  64  62
## [19135]  61  60  60  60  60  59  58  58  58  58  58  58  58  59  59  59  60  60
## [19153]  60  61  61  61  61  62  63  64  64  63  62  60  60  60  60  60  60  71
## [19171]  78  85  95 104 110 115 117 118 120 120 116 112 108 105 101  95  89  85
## [19189]  81  78  74  69  64  62  61  60  60  60  60  60  60  60  60  60  60  60
## [19207]  60  60  60  60  60  60  60  60  60  59  58  56  55  53  52  51  50  48
## [19225]  46  44  43  41  40  38  36  33  32  30  29  27  25  23  21  20  18  17
## [19243]  15  13  11  10   9   7   6   4   2   1   0   0   0   0   0   0   0   0
## [19261]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19279]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19297]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19315]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19333]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19351]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19369]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8  22  35  44
## [19387]  52  58  60  60  59  59  60  62  60  60  61  62  61  64  71  75  74  72
## [19405]  70  69  67  65  64  62  61  60  60  60  60  60  60  59  59  59  59  59
## [19423]  59  59  60  60  60  60  60  61  62  62  63  64  64  65  65  64  63  62
## [19441]  60  60  60  60  71  74  81  87  97 106 110 114 116 117 118 119 115 111
## [19459] 108 104 101  95  90  86  82  79  75  70  66  63  61  60  60  60  60  60
## [19477]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59  58  56
## [19495]  54  53  52  50  49  47  45  43  42  40  38  37  34  32  31  29  28  26
## [19513]  24  21  20  18  17  16  13  11  10   8   7   6   5   3   1   0   0   0
## [19531]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19549]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19567]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19585]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19603]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19621]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19639]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19657]   0   0   8  21  34  42  50  54  56  57  56  57  58  58  58  58  59  59
## [19675]  59  60  60  66  66  65  65  64  64  63  62  61  60  60  60  60  60  60
## [19693]  60  60  60  60  60  60  60  60  60  60  60  60  60  62  64  64  64  65
## [19711]  67  68  67  67  66  64  63  62  62  64  73  77  83  90  98 106 110 113
## [19729] 115 116 117 117 114 110 107 103  99  94  89  86  82  79  75  70  65  61
## [19747]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [19765]  60  60  60  59  58  55  53  52  51  50  48  46  44  42  40  39  37  35
## [19783]  33  31  30  28  27  25  23  21  19  17  16  15  12  10   9   7   6   4
## [19801]   3   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19819]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19837]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19855]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19873]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19891]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19909]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [19927]   0   0   0   0   0   0   0   0   8  21  33  41  48  52  53  54  54  55
## [19945]  56  56  56  56  57  57  58  58  59  60  60  60  60  60  60  60  60  60
## [19963]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [19981]  60  64  65  66  66  67  69  70  70  69  68  67  66  65  66  67  76  79
## [19999]  85  92 100 106 110 112 114 115 116 117 113 110 106 103  97  92  89  85
## [20017]  82  79  75  70  64  60  60  60  60  60  60  60  60  60  60  60  60  60
## [20035]  60  60  60  60  60  60  60  60  60  59  57  55  53  52  50  49  47  45
## [20053]  42  41  39  37  36  33  32  30  28  27  25  24  22  19  18  16  15  13
## [20071]  11   9   7   6   5   3   2   0   0   0   0   0   0   0   0   0   0   0
## [20089]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20107]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20125]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20143]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20161]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20179]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20197]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8  21  33  40
## [20215]  46  50  51  51  51  52  54  54  54  55  56  56  56  57  58  58  59  59
## [20233]  59  59  59  60  60  60  60  59  59  60  60  60  60  60  60  60  60  60
## [20251]  60  60  61  61  61  60  62  66  67  68  68  69  71  72  72  71  71  70
## [20269]  69  68  69  71  78  81  87  95 101 106 109 111 113 114 115 116 112 109
## [20287] 105 102  97  92  89  86  83  80  76  71  65  60  60  60  60  60  60  60
## [20305]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59  57  55
## [20323]  53  51  50  48  47  44  42  40  39  37  35  33  30  29  27  26  24  23
## [20341]  20  18  17  15  14  12  10   7   6   4   3   2   0   0   0   0   0   0
## [20359]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20377]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20395]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20413]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20431]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20449]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20467]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20485]   0   0   8  20  32  39  44  48  48  50  50  51  52  53  53  53  55  55
## [20503]  56  56  57  58  58  58  59  59  59  59  59  59  59  59  59  59  59  60
## [20521]  60  60  60  60  60  60  60  61  61  62  62  62  65  68  69  70  70  71
## [20539]  73  74  74  74  73  73  71  71  73  74  81  83  89  97 103 106 108 110
## [20557] 112 113 114 115 111 108 105 102  98  93  90  87  85  82  79  74  69  65
## [20575]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [20593]  60  60  60  59  56  54  52  51  49  48  46  43  41  39  38  36  34  32
## [20611]  29  28  26  24  23  21  19  17  15  14  12  11   8   6   4   3   1   0
## [20629]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20647]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20665]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20683]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20701]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20719]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20737]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20755]   0   0   0   0   0   0   0   0   8  20  31  37  42  45  46  47  47  49
## [20773]  50  51  51  52  53  54  54  55  56  56  57  57  58  58  58  58  58  58
## [20791]  58  58  59  59  59  60  60  60  60  60  60  60  60  61  63  63  63  64
## [20809]  66  70  71  72  72  73  75  76  76  76  76  75  75  75  76  78  83  85
## [20827]  91  98 103 105 107 109 110 112 113 114 111 108 105 103  99  95  93  90
## [20845]  88  85  83  80  76  72  67  60  60  60  60  60  60  60  60  60  60  60
## [20863]  60  60  60  60  60  60  60  60  60  58  56  53  52  50  48  47  45  42
## [20881]  40  38  37  35  33  31  28  27  25  24  22  20  18  16  14  12  11   9
## [20899]   7   4   3   1   0   0   0   0   0   0   1   0   0   0   0   0   0   0
## [20917]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20935]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20953]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20971]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [20989]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21007]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21025]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8  19  30  36
## [21043]  40  43  44  45  46  47  48  49  49  50  52  52  53  54  55  55  56  56
## [21061]  57  57  57  58  58  58  58  58  59  59  59  60  60  60  60  60  60  60
## [21079]  60  62  64  65  65  65  68  72  73  74  74  75  77  79  79  79  79  78
## [21097]  78  78  80  81  86  88  92  98 102 104 106 108 109 110 112 113 110 108
## [21115] 106 104 101  98  96  95  93  91  90  88  86  83  77  69  60  60  60  60
## [21133]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  58  56  53
## [21151]  51  50  48  46  44  42  40  38  36  34  33  30  28  26  24  23  21  19
## [21169]  17  15  13  12  10   8   6   3   1   0   0   0   0   0   1   2   2   1
## [21187]   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21205]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21223]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21241]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21259]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21277]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21295]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21313]   0   0   8  19  29  34  38  40  41  42  43  45  46  47  48  49  50  51
## [21331]  52  53  54  54  55  56  56  56  57  57  57  58  58  58  59  59  59  60
## [21349]  60  60  60  60  60  60  60  63  65  67  67  67  70  74  74  75  76  78
## [21367]  79  81  81  81  81  81  81  81  83  84  88  90  94  98 101 103 105 106
## [21385] 108 109 111 112 110 109 107 106 103 101 100  99  98  97  96  97  96  94
## [21403]  86  77  68  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [21421]  60  60  60  58  56  53  51  49  48  46  44  42  39  38  36  34  32  30
## [21439]  28  26  24  23  21  19  17  15  13  11  10   8   5   2   0   0   0   0
## [21457]   1   3   3   3   3   2   1   0   0   0   0   0   0   0   0   0   0   0
## [21475]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21493]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21511]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21529]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21547]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21565]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21583]   0   0   0   0   0   0   0   0   7  18  27  32  35  38  39  40  41  43
## [21601]  44  45  46  47  49  49  50  51  53  53  54  55  55  56  56  56  57  57
## [21619]  58  58  59  59  59  60  60  60  60  60  60  60  60  64  67  68  69  69
## [21637]  72  75  76  77  78  79  81  83  84  84  84  84  84  85  86  88  90  92
## [21655]  94  97 100 102 103 105 106 108 110 111 112 112 110 110 109 108 108 108
## [21673] 108 109 114 113 115 114 101  89  79  67  60  60  60  60  60  60  60  60
## [21691]  60  60  60  60  60  60  60  60  60  58  56  53  51  49  48  46  44  42
## [21709]  39  38  36  34  33  30  28  26  25  23  21  19  17  15  14  12  11   9
## [21727]   7   4   1   0   0   1   4   5   5   4   4   3   2   1   0   0   0   0
## [21745]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21763]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21781]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21799]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21817]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21835]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [21853]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   7  16  25  29
## [21871]  33  35  36  38  39  41  42  43  44  45  47  48  49  50  51  52  53  54
## [21889]  55  55  55  56  56  57  57  58  58  58  59  60  60  60  60  60  60  60
## [21907]  60  66  69  70  71  71  74  77  78  79  80  81  84  85  86  86  87  87
## [21925]  87  87  89  90  92  93  94  97 100 101 103 104 106 107 109 111 112 113
## [21943] 113 114 114 115 115 116 117 118 121 121 121 121 114 100  89  74  64  60
## [21961]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  58  56  53
## [21979]  51  50  48  46  45  42  39  38  36  35  33  31  28  27  25  24  22  20
## [21997]  18  17  15  14  13  11  10   7   5   4   4   5   7   7   6   5   5   4
## [22015]   3   2   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22033]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22051]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22069]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22087]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22105]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22123]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22141]   0   0   6  15  23  27  30  32  33  35  37  39  41  42  43  44  46  47
## [22159]  48  49  50  51  52  53  54  54  55  55  56  56  57  57  58  58  59  59
## [22177]  60  60  60  60  60  60  60  67  70  72  72  73  76  79  80  81  82  84
## [22195]  86  88  89  89  89  90  90  90  92  93  94  96  97  98 101 102 103 105
## [22213] 106 107 109 111 112 113 114 115 116 117 118 119 120 121 121 121 121 121
## [22231] 121 108  96  80  66  60  60  60  60  60  60  60  60  60  60  60  60  60
## [22249]  60  60  60  58  56  53  51  50  48  46  45  42  40  38  37  35  34  31
## [22267]  29  28  26  25  24  22  20  19  18  17  16  15  14  12  10   7   7   8
## [22285]   9   8   7   6   5   4   3   2   1   0   0   0   0   0   0   0   0   0
## [22303]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22321]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22339]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22357]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22375]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22393]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22411]   0   0   0   0   0   0   0   0   5  13  21  24  27  30  31  33  35  37
## [22429]  39  40  41  42  44  46  47  48  49  50  51  53  53  54  54  55  55  56
## [22447]  56  57  57  58  58  59  59  60  60  60  60  60  60  68  71  73  74  74
## [22465]  77  80  81  82  84  85  87  89  90  91  91  92  92  94  96  97  98  99
## [22483]  99 101 103 104 105 106 107 109 111 112 113 114 115 116 118 119 120 121
## [22501] 121 121 121 121 121 121 113 108  99  82  65  60  60  60  60  60  60  60
## [22519]  60  60  60  60  60  60  60  60  60  58  56  53  52  50  48  46  44  42
## [22537]  40  39  37  36  35  32  30  29  28  27  25  24  22  21  21  20  20  19
## [22555]  19  17  14  11  11  12  11  10   9   8   6   5   4   3   1   0   0   0
## [22573]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22591]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22609]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22627]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22645]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22663]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22681]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   3  12  18  22
## [22699]  24  27  28  31  33  35  37  38  40  41  43  44  46  47  48  49  50  52
## [22717]  52  53  53  54  55  56  56  56  57  57  58  58  59  59  60  60  60  60
## [22735]  60  71  73  75  76  76  79  82  83  84  86  87  89  91  92  93  94  95
## [22753]  96  97  99 100 101 102 103 104 105 107 108 109 110 111 113 113 114 115
## [22771] 116 117 119 121 121 121 121 121 121 121 121 121 114 105  98  80  60  60
## [22789]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  58  56  53
## [22807]  52  50  48  47  45  42  41  40  38  37  36  34  32  30  29  28  27  26
## [22825]  24  24  24  23  23  23  22  20  17  15  15  15  14  12  10   9   8   6
## [22843]   5   3   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22861]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22879]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22897]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22915]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22933]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22951]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [22969]   0   0   0  10  16  19  22  24  26  28  31  33  35  36  38  40  42  43
## [22987]  44  46  47  48  49  51  52  52  53  54  55  55  56  56  57  57  58  58
## [23005]  59  59  60  60  60  60  60  73  75  76  78  78  81  84  85  86  88  89
## [23023]  91  94  95  96  97  98  99 101 103 103 104 105 106 108 109 110 111 112
## [23041] 113 113 114 115 116 117 117 118 120 121 121 121 121 121 121 121 121 121
## [23059] 121 112 106  81  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [23077]  60  60  60  58  56  53  52  50  49  47  45  43  42  41  39  38  37  35
## [23095]  33  32  32  31  30  29  28  28  28  28  28  28  27  25  22  19  19  19
## [23113]  17  14  12  11   9   8   6   4   2   0   0   0   0   0   0   0   0   0
## [23131]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23149]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23167]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23185]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23203]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23221]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23239]   0   0   0   0   0   0   0   0   0   8  14  16  19  21  23  26  29  31
## [23257]  33  35  36  38  41  42  43  44  46  47  48  50  51  52  53  54  55  55
## [23275]  56  56  57  57  58  58  59  59  60  60  60  62  72  75  77  78  79  81
## [23293]  83  85  87  88  90  91  94  96  97  99 100 101 103 105 106 107 108 109
## [23311] 110 112 113 115 115 116 116 116 116 117 117 118 118 119 121 121 121 121
## [23329] 121 121 121 119 121 121 121 121 110  82  63  60  60  60  60  60  60  60
## [23347]  60  60  60  60  60  60  60  60  60  58  56  53  52  51  49  48  46  44
## [23365]  43  42  41  39  39  37  36  35  34  34  33  33  32  32  33  33  33  33
## [23383]  32  29  26  24  23  22  19  16  14  13  11   9   7   4   2   1   0   0
## [23401]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23419]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23437]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23455]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23473]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23491]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23509]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   6  11  14
## [23527]  16  19  21  25  28  29  32  34  35  37  40  41  42  44  45  46  48  50
## [23545]  51  52  53  54  55  56  57  57  58  58  58  59  60  60  60  60  63  65
## [23563]  74  77  78  80  81  83  85  87  89  90  92  93  96  98 100 101 103 104
## [23581] 106 109 110 112 113 114 115 117 119 121 121 121 120 119 118 119 119 119
## [23599] 119 120 121 121 121 121 121 121 119 113 115 121 121 100  93  75  60  60
## [23617]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  58  56  54
## [23635]  53  51  50  49  47  46  45  44  43  42  41  40  39  38  38  37  37  37
## [23653]  37  38  38  39  39  39  37  34  31  28  27  25  22  19  17  15  13  11
## [23671]   8   5   3   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23689]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23707]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23725]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23743]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23761]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23779]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23797]   0   0   0   4   8  11  14  16  19  22  25  28  30  32  34  36  39  40
## [23815]  42  43  45  46  48  51  52  53  55  56  57  58  58  58  59  59  59  60
## [23833]  61  62  63  65  67  69  76  78  80  82  83  86  87  90  91  93  95  96
## [23851]  99 101 103 105 106 108 110 113 115 117 119 120 119 124 131 137 139 134
## [23869] 126 121 120 120 120 120 120 120 121 121 121 121 121 119 108 101  99  92
## [23887]  83  73  67  60  62  60  60  60  60  60  60  60  60  60  60  60  60  60
## [23905]  60  60  60  58  56  54  53  52  51  50  49  47  47  46  45  45  44  43
## [23923]  42  42  42  41  41  41  43  43  44  45  45  44  42  39  35  32  31  29
## [23941]  25  22  20  18  16  13  10   7   5   3   1   0   0   0   0   0   0   0
## [23959]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23977]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [23995]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24013]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24031]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24049]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24067]   0   0   0   0   0   0   0   0   0   4   7   9  12  14  17  20  24  26
## [24085]  28  30  32  35  38  40  42  44  46  47  50  53  55  56  58  60  60  60
## [24103]  60  60  60  60  60  62  64  66  67  68  71  73  78  80  82  84  85  88
## [24121]  91  92  94  96  97  99 102 104 106 107 109 111 113 116 119 121 128 128
## [24139] 121 147 155 157 157 154 144 127 121 121 121 121 121 121 121 121 121 121
## [24157] 118 112  99  87  80  73  60  64  61  61  60  60  60  60  60  60  60  60
## [24175]  60  60  60  60  60  60  60  60  60  59  57  56  55  54  53  52  51  50
## [24193]  49  49  48  48  47  47  46  46  46  46  46  46  49  50  50  51  51  50
## [24211]  46  43  39  36  34  32  29  25  23  21  18  16  13   9   7   5   2   0
## [24229]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24247]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24265]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24283]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24301]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24319]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24337]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   3   6   8
## [24355]  10  13  15  19  23  25  27  30  32  35  38  40  43  45  47  49  52  55
## [24373]  57  59  60  60  61  61  61  62  62  63  63  65  67  69  70  72  74  77
## [24391]  80  82  84  86  87  90  93  95  97  98 100 102 104 107 108 110 112 113
## [24409] 116 118 121 131 142 151 160 173 176 176 176 175 163 148 134 126 121 121
## [24427] 121 121 121 121 121 121 115 107  94  80  73  67  60  60  61  60  60  60
## [24445]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59  58  57
## [24463]  56  56  55  54  54  53  53  52  52  51  51  50  50  50  50  50  51  52
## [24481]  55  56  56  56  56  55  51  48  43  40  38  36  32  28  26  24  21  19
## [24499]  15  12   9   7   4   3   1   0   0   0   0   0   0   0   0   0   0   0
## [24517]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24535]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24553]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24571]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24589]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24607]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24625]   0   0   0   3   6   8  10  12  15  18  22  24  27  29  31  35  39  41
## [24643]  43  45  48  50  53  57  60  60  61  61  62  63  63  64  65  66  67  70
## [24661]  71  72  74  76  78  80  83  85  86  88  90  93  96  97  99 101 103 105
## [24679] 107 110 111 112 113 115 117 119 121 140 155 170 182 187 198 205 213 202
## [24697] 182 165 151 141 137 125 121 121 122 121 121 121 111 101  86  66  64  61
## [24715]  61  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [24733]  60  60  60  60  60  59  58  58  58  57  57  56  56  55  55  55  55  55
## [24751]  55  55  55  55  55  57  60  60  60  60  60  60  56  53  48  44  42  39
## [24769]  35  32  29  26  24  21  18  14  11   9   7   4   2   0   0   0   0   0
## [24787]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24805]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24823]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24841]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24859]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24877]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [24895]   0   0   0   0   0   0   0   0   0   3   5   8  10  12  14  18  22  24
## [24913]  26  29  31  35  39  41  43  46  48  51  54  58  60  60  61  62  64  64
## [24931]  65  66  67  68  70  73  74  76  77  79  81  84  87  88  90  92  93  96
## [24949]  99 101 103 105 106 108 111 113 114 115 116 117 118 120 121 145 163 182
## [24967] 180 194 213 228 243 243 204 177 162 152 148 142 132 123 123 121 121 121
## [24985] 110  98  82  70  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [25003]  60  60  60  60  60  60  60  60  60  60  60  60  60  59  59  59  58  58
## [25021]  58  57  57  57  57  57  57  57  57  57  57  58  59  60  60  60  60  60
## [25039]  60  57  52  48  46  43  39  35  32  29  27  24  20  16  14  11   9   6
## [25057]   3   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [25075]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [25165]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   3   5   7
## [25183]  10  12  14  18  21  24  26  29  31  35  39  41  44  46  49  51  55  60
## [25201]  60  61  62  63  65  66  67  69  70  71  73  76  78  79  81  83  85  88
## [25219]  91  92  94  96  98 100 103 106 108 110 112 113 115 117 118 118 118 119
## [25237] 119 121 135 153 169 179 189 209 222 237 241 242 236 196 177 167 165 162
## [25255] 156 142 128 121 121 121 110 100  86  75  72  70  67  63  60  60  60  60
## [25273]  60  60  60  60  63  60  60  60  60  60  60  60  60  60  60  60  60  60
## [25291]  60  60  60  59  59  59  59  59  58  58  58  58  58  58  58  58  58  59
## [25309]  59  60  60  60  60  60  60  60  55  51  48  45  41  37  34  31  28  25
## [25327]  21  17  15  12  10   7   4   1   0   0   0   0   0   0   0   0   0   0
## [25345]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [25435]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [25453]   0   0   0   2   5   7   9  12  14  18  21  24  26  29  31  35  39  41
## [25471]  44  46  49  53  57  60  60  61  62  64  66  68  69  71  73  74  76  80
## [25489]  81  83  85  87  89  92  94  96  98  99 101 104 108 110 112 115 117 117
## [25507] 120 121 121 121 120 120 120 121 133 167 182 180 188 208 218 226 233 243
## [25525] 214 208 194 182 182 182 182 161 142 130 121 121 111 103  91  82  80  79
## [25543]  76  71  63  60  60  60  60  60  60  77  74  67  60  60  60  60  60  60
## [25561]  60  60  60  60  60  60  60  60  60  60  60  60  60  59  59  59  59  59
## [25579]  59  59  59  59  59  59  60  60  60  60  60  60  60  60  59  55  52  48
## [25597]  43  39  36  33  30  28  23  19  16  14  11   9   5   2   0   0   0   0
## [25615]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [25633]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [25669]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [25705]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [25723]   0   0   0   0   0   0   0   0   0   2   4   7   9  11  14  17  21  24
## [25741]  26  28  31  35  39  41  44  46  49  53  57  60  60  61  63  65  67  70
## [25759]  72  74  76  78  80  83  85  86  88  91  93  96  98 100 102 105 106 110
## [25777] 114 116 119 136 132 129 132 130 126 123 121 121 121 121 121 168 181 182
## [25795] 187 203 210 215 220 223 217 215 213 215 207 202 195 181 160 144 128 121
## [25813] 114 107  97  90  89  87  85  81  76  74  71  65  60  69  90 101  94  81
## [25831]  71  63  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [25849]  60  60  60  60  60  59  59  59  59  59  59  59  60  60  60  60  60  60
## [25867]  60  60  60  59  55  50  45  42  39  35  32  29  25  20  17  15  12  10
## [25885]   6   3   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [25903]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [25921]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [25939]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [25957]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [25975]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [25993]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   2   4   7
## [26011]   9  11  15  18  21  24  26  28  31  35  39  41  44  46  49  53  57  60
## [26029]  60  61  63  65  69  71  73  76  78  79  82  85  87  89  91  93  95  98
## [26047] 102 104 106 108 111 114 118 121 182 182 164 155 148 138 131 125 121 121
## [26065] 121 121 121 155 182 182 186 196 200 203 205 212 221 229 235 243 230 220
## [26083] 214 202 182 164 145 121 117 112 104  99  97  96  94  91  87  88  86  81
## [26101]  85  90 114 121 111  93  80  69  63  60  60  60  60  60  60  60  60  60
## [26119]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [26137]  60  60  60  60  60  60  60  60  60  60  58  53  47  44  40  37  34  30
## [26155]  26  21  18  15  13  10   6   2   1   0   0   0   0   0   0   0   0   0
## [26173]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26191]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26209]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26227]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26245]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26263]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26281]   0   0   0   2   4   7   9  11  15  19  21  24  26  28  31  35  39  41
## [26299]  44  46  49  53  57  60  60  62  64  66  70  73  76  79  81  83  85  89
## [26317]  91  92  95  97  99 102 105 107 109 111 114 118 134 169 172 180 182 176
## [26335] 160 148 138 128 121 121 121 121 156 172 181 181 183 187 189 190 188 201
## [26353] 217 237 242 243 242 237 233 227 210 191 172 148 128 118 111 108 106 105
## [26371] 103 101  99 101 103 100 103 107 118 121 121 100  84  70  62  61  61  60
## [26389]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [26407]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  54
## [26425]  48  45  41  38  34  31  26  21  18  15  12   9   5   1   0   0   0   0
## [26443]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26461]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26479]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26497]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26515]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26533]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26551]   0   0   0   0   0   0   0   0   0   2   4   7   9  11  15  19  21  24
## [26569]  26  28  31  35  39  41  44  46  49  53  57  60  60  62  64  67  72  75
## [26587]  78  81  84  86  89  92  94  96  98 100 102 105 108 110 112 114 116 120
## [26605] 144 162 169 182 182 179 171 157 144 132 121 121 121 121 182 178 181 181
## [26623] 182 182 183 182 183 182 214 242 243 231 237 240 242 243 243 215 182 170
## [26641] 142 121 119 117 115 113 113 112 112 115 121 121 110 106 110 121 100  93
## [26659]  78  60  62  61  61  60  60  60  60  60  60  60  60  60  60  60  60  60
## [26677]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [26695]  60  60  60  60  60  54  48  44  41  37  33  30  25  20  17  14  10   7
## [26713]   2   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26731]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26749]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26767]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26785]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26803]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [26821]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   2   4   7
## [26839]   9  11  15  19  21  24  26  28  31  35  38  41  43  46  48  52  56  59
## [26857]  60  62  65  69  73  78  81  84  87  89  92  96  98 100 102 104 106 109
## [26875] 110 112 114 116 117 120 141 160 179 182 182 182 178 164 150 135 121 121
## [26893] 121 121 152 182 181 182 182 182 182 182 182 182 199 217 210 218 227 235
## [26911] 241 243 243 243 228 182 150 124 122 121 119 118 117 116 116 121 119 121
## [26929] 108 101 102  99  94  82  73  67  60  61  61  60  60  60  60  60  60  60
## [26947]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [26965]  60  60  60  60  60  60  60  60  60  60  60  53  47  44  40  36  33  29
## [26983]  24  19  16  13   9   6   2   0   0   0   0   0   0   0   0   0   0   0
## [27001]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27019]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27037]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27055]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27073]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27091]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27109]   0   0   0   2   4   6   9  11  15  18  21  23  26  28  31  34  38  40
## [27127]  43  45  48  51  55  58  60  63  66  70  75  80  83  87  90  92  96 101
## [27145] 103 105 107 108 110 112 113 115 117 118 119 129 145 163 182 182 182 182
## [27163] 182 174 158 142 121 121 121 121 121 121 152 161 172 180 181 182 182 182
## [27181] 182 182 182 200 219 233 243 243 243 243 213 182 152 121 122 121 120 118
## [27199] 117 115 113 115 115  94  95  90  87  81  76  73  65  62  61  61  60  60
## [27217]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [27235]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59  59  55  51
## [27253]  46  42  39  35  32  28  23  18  15  12   9   6   2   0   0   0   0   0
## [27271]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27289]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27307]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27325]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27343]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27361]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27379]   0   0   0   0   0   0   0   0   0   2   4   6   9  11  14  18  20  23
## [27397]  25  28  30  34  37  40  42  45  47  51  55  58  60  63  67  73  77  82
## [27415]  86  90  94  97 103 109 111 112 113 113 114 116 117 118 120 120 120 129
## [27433] 149 162 171 180 182 182 183 183 176 158 141 121 121 121 121 121 121 130
## [27451] 157 179 181 182 182 182 182 182 182 191 213 232 243 245 244 243 212 182
## [27469] 152 121 121 120 118 117 115 113 109 107 103  95  85  78  70  60  60  60
## [27487]  62  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [27505]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [27523]  60  58  57  56  53  48  43  40  37  34  31  26  21  18  15  12   9   7
## [27541]   3   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27559]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27577]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27595]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27613]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27631]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27649]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   2   4   6
## [27667]   9  11  14  18  20  22  25  27  30  33  37  39  42  44  47  51  54  57
## [27685]  60  64  68  75  81  86  90  95 100 105 113 121 121 121 121 119 119 121
## [27703] 121 121 121 121 121 133 147 158 169 177 182 183 184 185 184 182 163 141
## [27721] 121 121 121 121 121 121 148 179 181 182 182 182 182 182 182 204 218 238
## [27739] 244 252 246 237 210 182 153 121 119 117 115 113 110 107 102  98  92  85
## [27757]  78  70  62  61  61  60  60  60  60  60  60  60  60  60  60  60  60  60
## [27775]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [27793]  60  60  60  60  60  60  58  56  55  53  50  45  41  38  34  31  28  23
## [27811]  19  16  13  10   7   6   3   0   0   0   0   0   0   0   0   0   0   0
## [27829]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27847]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27865]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27883]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27901]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27919]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [27937]   0   0   0   2   4   6   8  11  14  18  20  22  25  27  29  33  37  39
## [27955]  41  44  46  50  54  56  59  62  67  75  83  88  93  99 104 110 120 121
## [27973] 121 121 121 121 121 121 121 121 122 122 126 139 152 162 172 180 182 183
## [27991] 186 188 188 186 182 155 121 121 121 121 121 162 182 179 181 182 182 182
## [28009] 182 182 182 207 230 243 253 270 254 243 212 182 157 130 117 114 111 108
## [28027] 104 100  94  87  82  76  67  60  61  60  60  60  60  60  60  60  60  60
## [28045]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [28063]  60  60  60  60  60  60  60  60  60  60  60  59  57  55  53  50  47  42
## [28081]  37  34  31  28  24  20  15  12   9   7   4   4   2   0   0   0   0   0
## [28099]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [28117]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [28135]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [28153]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [28171]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [28189]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [28207]   0   0   0   0   0   0   0   0   0   2   4   6   8  10  14  17  20  22
## [28225]  24  27  29  32  36  38  41  43  45  49  53  55  58  60  63  73  82  88
## [28243]  94  99 106 112 119 121 121 121 121 121 121 121 121 121 122 123 130 144
## [28261] 159 169 182 181 182 185 190 196 197 195 189 168 145 129 121 121 121 169
## [28279] 180 182 182 182 182 182 182 182 192 214 243 242 245 250 249 234 210 182
## [28297] 162 135 120 116 112 108 103  98  91  84  78  72  64  61  60  60  60  60
## [28315]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [28333]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59
## [28351]  56  53  51  48  45  40  35  31  28  24  21  16  12   9   6   3   0   1
## [28369]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [28387]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [28405]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [28423]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [28441]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [28459]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [28477]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   3   6
## [28495]   8  10  13  17  19  21  24  26  29  33  35  37  40  42  44  48  51  54
## [28513]  56  58  60  70  80  85  92  97 103 109 117 121 121 121 121 121 121 121
## [28531] 121 121 122 124 133 146 160 170 182 182 182 187 197 208 208 204 196 185
## [28549] 167 152 136 121 157 162 177 181 182 182 182 182 182 182 200 217 225 243
## [28567] 243 243 227 215 200 182 163 144 132 121 117 112 107 100  92  86  81  74
## [28585]  69  65  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [28603]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [28621]  60  60  60  60  60  58  54  51  49  45  41  36  30  27  23  19  16  11
## [28639]   7   4   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [28747]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [28765]   0   0   0   1   3   6   8  10  13  16  19  21  23  25  29  32  35  37
## [28783]  39  41  44  47  51  53  56  58  60  69  78  84  90  96 101 107 117 121
## [28801] 121 121 121 121 121 121 121 121 123 125 137 148 159 169 178 182 182 195
## [28819] 213 233 226 219 206 192 184 175 155 141 164 174 179 181 181 182 182 182
## [28837] 182 182 196 207 214 216 218 215 206 199 188 178 164 153 145 136 126 119
## [28855] 114 105  97  91  86  80  74  69  62  60  60  60  60  60  60  60  60  60
## [28873]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [28891]  60  60  60  60  60  60  60  60  60  60  60  57  53  49  46  42  38  32
## [28909]  26  22  18  14  10   6   2   0   0   0   0   0   0   0   0   0   0   0
## [28927]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [29035]   0   0   0   0   0   0   0   0   0   1   3   5   7   9  13  16  18  20
## [29053]  23  25  28  32  34  36  39  41  43  47  50  53  55  58  60  69  77  83
## [29071]  88  94  99 105 114 121 121 121 121 121 121 121 121 121 124 126 137 149
## [29089] 156 164 170 175 181 193 220 243 243 233 216 198 187 182 172 149 168 177
## [29107] 180 181 181 181 182 182 182 182 189 194 196 197 194 192 182 182 181 171
## [29125] 166 163 160 150 138 128 121 112 103  97  91  85  79  73  64  60  60  60
## [29143]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [29161]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  56
## [29179]  51  47  43  39  34  28  21  17  12   7   3   1   0   0   0   0   0   0
## [29197]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [29305]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   3   5
## [29323]   7   9  12  16  18  20  22  24  28  31  34  36  38  40  43  46  50  52
## [29341]  55  58  60  68  75  81  85  90  96 101 109 115 119 121 121 121 121 121
## [29359] 121 121 125 128 135 144 150 157 164 170 176 188 209 220 234 243 213 196
## [29377] 186 183 169 152 171 178 181 181 182 182 182 182 182 182 182 183 182 181
## [29395] 181 178 176 175 176 175 174 176 177 164 147 134 122 118 110 104  97  91
## [29413]  85  78  69  62  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [29431]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [29449]  60  60  60  60  60  55  50  46  41  36  31  24  17  13   7   0   1   0
## [29467]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [29485]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [29521]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [29539]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [29575]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [29593]   0   0   0   0   2   4   7   9  12  15  17  20  22  24  28  31  33  35
## [29611]  38  40  42  46  49  52  54  57  60  65  73  77  81  86  91  99 106 110
## [29629] 114 117 121 121 121 121 121 121 124 126 130 138 144 150 156 163 169 179
## [29647] 194 201 206 196 182 185 182 180 158 153 173 180 182 182 182 182 182 182
## [29665] 182 182 182 181 180 178 175 170 165 169 171 174 177 182 182 182 156 141
## [29683] 131 121 117 110 104  97  90  83  73  64  60  60  60  60  60  60  60  60
## [29701]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [29719]  60  60  60  60  60  60  60  60  60  60  60  55  50  45  40  35  30  23
## [29737]  17  12   8   5   1   0   0   0   0   0   0   0   0   0   0   0   0   0
## [29755]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [29773]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [29791]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [29809]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [29827]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [29845]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [29863]   0   0   0   0   0   0   0   0   0   0   1   3   6   8  11  15  17  19
## [29881]  21  24  27  30  33  35  37  39  42  45  49  51  53  56  58  62  69  73
## [29899]  76  80  85  94 101 105 108 111 115 118 121 121 121 121 121 120 123 130
## [29917] 136 142 148 154 161 169 179 184 179 177 176 177 176 176 160 159 175 181
## [29935] 182 182 182 182 182 182 182 182 181 179 177 174 169 161 155 158 162 165
## [29953] 169 179 182 172 159 147 140 132 121 115 109 101  93  85  74  65  60  60
## [29971]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [29989]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  55
## [30007]  50  45  40  35  28  21  17  14  10   8   5   4   3   2   2   1   0   0
## [30025]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30043]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30061]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30079]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30097]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30115]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30133]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   3
## [30151]   5   7  11  14  16  18  21  23  26  29  32  34  36  39  41  44  47  49
## [30169]  52  54  56  59  64  68  70  74  79  89  96  99 102 105 109 111 115 117
## [30187] 117 117 116 116 118 121 128 133 139 145 152 159 167 166 167 163 163 168
## [30205] 170 172 164 165 176 182 182 182 182 182 182 182 182 182 181 177 174 170
## [30223] 163 153 145 145 148 151 153 160 166 159 156 154 151 138 128 123 118 107
## [30241]  97  85  73  64  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [30259]  60  60  60  69  71  71  66  60  60  60  60  60  60  60  60  60  60  60
## [30277]  60  60  60  60  60  55  50  45  40  35  29  23  19  17  14  12  10   8
## [30295]   6   4   3   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30313]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30331]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30349]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30367]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30385]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30403]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30421]   0   0   0   0   0   2   4   7  10  13  15  17  20  22  25  28  31  33
## [30439]  35  37  40  43  46  48  50  53  55  57  60  62  63  67  73  83  90  93
## [30457]  96  99 102 104 108 109 110 110 110 111 114 118 120 124 130 136 142 149
## [30475] 154 153 152 152 154 160 165 169 170 172 178 182 182 182 182 182 182 182
## [30493] 182 182 179 176 172 167 158 147 137 134 138 140 140 144 155 155 160 160
## [30511] 158 147 135 127 121 110  99  83  67  60  62  60  60  60  60  60  60  60
## [30529]  60  60  60  60  60  60  60  60  76  94 101 101  96  94  81  60  60  60
## [30547]  60  60  60  60  60  60  60  60  60  60  60  55  50  45  40  36  30  25
## [30565]  22  20  18  16  14  12   9   7   4   2   0   0   0   0   0   0   0   0
## [30583]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30601]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30619]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30637]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30655]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30673]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30691]   0   0   0   0   0   0   0   0   0   0   0   1   3   6   9  12  14  17
## [30709]  19  21  24  27  29  32  34  36  39  42  44  46  49  51  53  55  58  59
## [30727]  60  60  67  78  85  88  90  92  96  98 102 103 103 104 105 107 111 115
## [30745] 117 120 121 127 133 138 141 139 139 141 144 152 160 166 171 176 182 182
## [30763] 182 182 182 182 182 182 182 182 178 175 172 165 153 139 126 123 124 126
## [30781] 124 125 143 158 174 175 174 158 142 131 121 110 100  83  60  61  61  61
## [30799]  61  60  60  60  60  60  60  60  60  60  60  60  60  76  92 117 121 121
## [30817] 121 121 104  72  63  61  60  60  60  60  60  60  60  60  60  60  60  55
## [30835]  50  45  41  37  32  28  25  24  23  21  19  16  12  10   8   5   2   0
## [30853]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30871]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30889]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30907]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30925]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30943]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [30961]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1
## [30979]   3   5   8  11  13  16  18  20  23  26  28  30  32  34  37  40  42  45
## [30997]  46  49  51  53  56  57  58  60  62  73  80  82  84  86  89  92  95  96
## [31015]  96  98 101 103 108 112 115 118 121 121 126 128 126 126 126 131 136 147
## [31033] 156 162 168 174 178 182 182 182 182 182 182 182 182 182 182 182 182 171
## [31051] 156 140 121 121 122 121 122 122 121 151 166 182 182 175 153 135 121 112
## [31069] 105  92  74  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [31087]  60  79  97 114 121 109 106  95  83  72  65  62  60  60  60  60  60  60
## [31105]  60  60  60  60  60  55  50  46  42  39  34  31  29  28  27  25  24  20
## [31123]  16  14  11   9   5   1   0   0   0   0   0   0   0   0   0   0   0   0
## [31141]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31159]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31177]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31195]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31213]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31231]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31249]   0   0   0   0   0   0   2   4   7  10  12  14  16  18  21  24  26  28
## [31267]  31  32  36  39  41  43  45  47  49  51  54  56  57  59  60  69  74  76
## [31285]  78  79  82  85  89  89  90  92  96  99 104 109 113 117 121 121 121 121
## [31303] 121 121 121 121 127 139 150 157 164 171 176 180 181 181 182 182 182 182
## [31321] 188 202 200 193 187 183 170 158 150 131 121 121 121 121 126 137 152 167
## [31339] 182 182 173 142 121 119 117 109  91  79  67  60  60  60  60  60  60  60
## [31357]  60  60  60  60  60  60  60  77  93 100  94  89  81  69  73  66  62  61
## [31375]  60  60  60  60  60  60  60  60  60  60  60  55  51  46  43  39  36  33
## [31393]  31  30  30  28  27  23  19  17  15  12  10   6   0   0   0   0   0   0
## [31411]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31429]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31447]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31465]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31483]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31501]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31519]   0   0   0   0   0   0   0   0   0   0   0   0   1   4   7   9  11  13
## [31537]  16  17  21  24  26  28  30  32  35  38  39  42  43  45  47  50  53  55
## [31555]  56  58  60  64  69  70  72  72  76  79  83  84  85  88  91  95 101 106
## [31573] 110 113 117 121 121 119 120 120 121 121 121 132 145 153 161 168 174 179
## [31591] 181 181 181 182 182 182 221 227 216 201 192 186 183 182 182 161 141 121
## [31609] 121 121 121 121 136 153 167 182 182 148 121 122 121 121 109  97  85  74
## [31627]  60  60  60  60  60  60  60  60  60  60  60  60  60  74  86  83  78  71
## [31645]  60  64  60  61  60  60  60  60  60  60  60  60  60  60  60  60  60  55
## [31663]  51  48  44  42  39  36  35  35  34  33  32  27  24  22  20  19  17  15
## [31681]   8   2   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31699]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [31735]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31753]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31771]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31789]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [31807]   1   4   7   9  11  13  15  17  20  23  25  27  29  31  34  37  39  41
## [31825]  42  44  46  49  52  53  55  56  58  60  64  64  66  65  69  74  76  77
## [31843]  79  82  85  89  95 101 104 108 112 115 116 117 118 119 120 121 121 129
## [31861] 141 150 158 166 173 179 181 182 182 195 213 236 243 243 231 206 194 187
## [31879] 184 182 182 182 172 152 125 121 121 121 121 137 150 164 148 135 127 123
## [31897] 122 121 121 115 103  96  74  65  62  61  60  60  60  60  60  60  60  60
## [31915]  60  68  75  74  70  66  64  61  60  60  60  60  60  60  60  60  60  60
## [31933]  60  60  60  60  60  56  52  49  46  44  42  40  39  39  39  38  35  32
## [31951]  30  28  27  26  25  24  17  12   6   0   0   0   0   0   0   0   0   0
## [31969]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [32023]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [32059]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [32077]   0   0   0   0   0   0   0   3   6   8  10  12  14  16  20  23  24  26
## [32095]  28  30  33  36  38  40  42  44  46  48  51  53  54  56  57  59  60  60
## [32113]  62  60  65  69  71  70  73  76  80  83  89  95  99 103 107 110 112 115
## [32131] 116 118 119 121 121 133 143 152 160 169 177 182 182 182 206 217 243 257
## [32149] 244 243 243 208 195 188 183 182 182 182 182 182 140 121 121 121 121 121
## [32167] 133 139 129 125 122 122 121 121 121 121 121 121  78  66  62  61  61  60
## [32185]  60  60  60  60  60  60  60  60  64  67  67  65  63  62  60  60  60  60
## [32203]  60  60  60  60  60  60  60  60  60  60  60  56  53  51  49  48  46  44
## [32221]  44  43  43  42  41  38  36  35  34  34  34  34  26  22  17  11   5   2
## [32239]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [32257]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [32347]   0   0   0   0   0   0   0   0   0   0   0   0   0   3   6   8  10  12
## [32365]  14  16  19  22  24  26  28  30  33  35  37  39  41  43  45  47  50  51
## [32383]  53  54  55  57  58  59  60  60  60  63  64  63  67  70  74  77  83  89
## [32401]  94  98 102 105 109 112 114 116 118 120 121 135 149 157 166 179 182 185
## [32419] 196 208 219 230 243 260 245 237 221 207 195 187 183 182 182 182 182 173
## [32437] 148 128 121 119 118 119 121 120 114 114 115 118 121 121 121 117 113  81
## [32455]  73  66  62  61  61  60  60  60  60  60  60  60  60  60  61  63  64  64
## [32473]  63  61  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  57
## [32491]  55  53  52  51  50  49  48  48  48  47  46  44  43  42  42  43  44  44
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## [32635]   0   3   6   8  10  12  14  16  19  22  24  26  28  30  32  35  37  39
## [32653]  40  42  44  47  48  50  51  53  54  55  56  57  57  58  59  60  60  61
## [32671]  60  64  68  72  78  84  88  93  97 101 105 110 112 115 117 120 121 135
## [32689] 149 158 167 174 182 190 212 229 243 243 234 243 228 220 211 202 190 182
## [32707] 172 171 171 170 163 157 140 128 121 116 112 112 121 100  92  91  95 101
## [32725] 111 121 121 103  94  76  70  65  63  61  61  60  60  60  60  60  60  60
## [32743]  60  60  60  60  61  61  61  60  60  60  60  60  60  60  60  60  60  60
## [32761]  60  60  60  60  60  59  58  57  56  55  54  53  53  53  52  52  51  50
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## [32905]   0   0   0   0   0   0   0   3   6   8  10  12  14  16  19  22  24  26
## [32923]  28  29  32  35  36  38  39  41  43  46  47  48  50  51  52  54  55  56
## [32941]  56  57  58  58  59  59  60  60  62  66  72  79  83  88  92  97 102 108
## [32959] 111 115 118 121 125 137 145 153 161 169 175 189 213 233 242 243 216 210
## [32977] 207 203 197 187 178 165 155 154 154 150 144 136 125 117 111 103  92  90
## [32995]  81  86  77  76  83  88  98 115  97  90  83  74  69  65  63  61  61  60
## [33013]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [33031]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59  59  58  57
## [33049]  57  56  56  56  56  56  56  57  60  60  60  60  54  53  52  51  46  30
## [33067]  16   7   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [33175]   0   0   0   0   0   0   0   0   0   0   0   0   1   3   6   8  10  12
## [33193]  14  16  19  22  24  25  27  29  31  34  35  37  39  40  42  44  46  47
## [33211]  48  49  50  52  53  54  55  55  56  57  58  58  59  59  60  60  67  74
## [33229]  79  84  89  93 100 106 111 115 121 121 124 134 141 149 156 163 169 179
## [33247] 196 206 195 182 182 182 189 189 188 182 165 148 137 138 137 135 131 121
## [33265] 122 107  93  81  60  60  60  65  62  60  66  67  79  85  78  67  66  70
## [33283]  69  65  62  61  61  60  60  60  60  60  60  60  60  60  60  60  60  60
## [33301]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [33319]  60  60  60  60  60  59  58  58  58  57  57  57  58  58  59  60  60  60
## [33337]  61  61  60  60  56  38  22  12   3   0   0   0   0   0   0   0   0   0
## [33355]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [33373]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [33445]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [33463]   1   4   7   8  10  12  14  16  19  21  23  25  26  28  30  33  34  36
## [33481]  37  39  41  43  44  45  46  48  49  51  52  53  53  54  55  56  57  57
## [33499]  58  58  59  60  61  69  75  80  85  90  97 104 108 113 116 120 123 131
## [33517] 138 145 151 156 161 169 179 185 177 173 170 170 174 174 178 182 156 136
## [33535] 125 130 130 129 127 121 121 106  91  76  70  60  60  60  60  61  60  60
## [33553]  60  63  60  63  60  60  63  63  60  60  60  60  60  60  60  60  60  60
## [33571]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [33589]  60  60  60  60  60  60  60  60  60  60  60  60  59  59  58  58  58  58
## [33607]  58  58  59  60  60  61  61  62  60  60  54  42  29  20  10   0   0   0
## [33625]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [33733]   0   0   0   0   0   0   1   4   7   8  10  12  14  17  19  21  23  24
## [33751]  26  27  30  32  33  35  36  37  39  41  42  44  45  46  47  49  50  51
## [33769]  52  53  54  55  56  56  57  58  59  60  60  66  72  77  82  87  93 100
## [33787] 104 109 113 116 120 126 134 140 145 149 153 159 167 165 163 159 156 154
## [33805] 152 150 153 164 145 121 122 123 124 124 123 123 121 104  89  76  69  65
## [33823]  61  60  60  60  60  60  60  60  61  60  61  60  60  60  60  60  60  60
## [33841]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [33859]  60  60  60  60  60  60  60  60  59  59  59  59  60  60  60  60  60  59
## [33877]  59  58  58  58  57  57  57  57  57  59  60  62  63  65  62  60  56  45
## [33895]  34  24  15   7   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [33913]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [34003]   0   0   0   0   0   0   0   0   0   0   0   0   1   3   6   8  10  12
## [34021]  14  16  19  21  22  24  25  26  28  30  32  33  34  36  38  40  41  42
## [34039]  43  44  46  47  49  50  51  52  53  54  55  56  57  58  59  60  64  67
## [34057]  71  75  79  83  90  96 101 105 109 113 118 121 130 136 140 144 147 152
## [34075] 158 156 153 149 147 143 137 134 133 132 121 119 117 119 121 122 122 122
## [34093] 122 102  88  77  70  65  62  60  60  60  60  60  60  60  60  60  60  60
## [34111]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [34129]  60  60  60  60  60  60  60  60  60  60  60  60  60  59  59  58  58  58
## [34147]  59  59  60  59  58  57  57  57  56  56  56  55  54  54  53  54  60  63
## [34165]  66  73  64  62  61  53  41  33  24  14   6   0   0   0   0   0   0   0
## [34183]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [34273]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [34291]   0   3   6   8  10  11  13  16  18  20  21  22  24  25  27  29  31  32
## [34309]  33  34  36  38  39  40  42  43  44  46  48  49  49  51  52  53  55  56
## [34327]  57  58  59  60  64  67  70  73  77  81  87  93  98 102 106 110 117 121
## [34345] 126 129 133 135 137 141 144 143 140 137 134 128 122 121 121 120 119 114
## [34363] 112 113 115 117 117 116 106  93  83  75  69  65  61  60  60  60  60  60
## [34381]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [34399]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59  59
## [34417]  59  59  58  57  57  57  57  58  58  57  56  56  56  55  55  55  54  53
## [34435]  52  51  50  51  55  60  65  62  63  61  61  60  51  42  32  21  10   0
## [34453]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [34471]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [34561]   0   0   0   0   0   0   0   2   5   7   9  11  13  16  18  19  20  22
## [34579]  23  24  26  28  29  30  32  33  35  37  38  39  40  41  43  45  46  48
## [34597]  48  50  51  52  54  55  56  58  59  60  63  66  69  72  76  80  86  92
## [34615]  96 100 105 109 115 121 121 123 124 126 128 129 130 131 130 128 125 122
## [34633] 121 120 119 117 115 109 106 106 106 106 104  99  87  73  60  60  60  60
## [34651]  61  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [34669]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [34687]  60  60  60  59  59  59  59  58  58  56  55  55  56  56  56  54  53  53
## [34705]  53  53  52  51  50  49  48  46  44  45  48  53  58  61  60  61  60  60
## [34723]  60  56  45  29  16   3   0   0   0   0   0   0   0   0   0   0   0   0
## [34741]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [34813]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [34831]   0   0   0   0   0   0   0   0   0   0   0   0   0   2   5   7   9  10
## [34849]  13  15  17  19  20  21  22  24  25  27  28  29  31  32  34  35  37  38
## [34867]  39  40  42  44  45  46  47  48  49  51  53  54  56  57  58  59  61  62
## [34885]  65  70  74  78  84  90  94  99 103 107 114 121 121 121 121 122 122 123
## [34903] 123 123 123 122 121 121 119 119 117 115 112 105 101  98  97  95  91  85
## [34921]  74  60  62  61  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [34939]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [34957]  60  60  60  60  60  60  60  60  59  59  59  59  58  58  57  56  54  54
## [34975]  54  54  53  52  51  50  50  49  49  48  46  44  43  41  39  39  41  46
## [34993]  50  52  54  57  60  60  60  60  60  35  19   5   0   0   0   0   0   0
## [35011]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [35029]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [35101]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [35119]   0   2   5   6   8  10  12  15  17  18  19  21  22  23  25  26  27  29
## [35137]  30  31  33  35  36  37  38  39  41  43  44  45  46  48  49  50  52  53
## [35155]  54  56  57  58  59  60  60  67  71  75  82  88  92  96 100 105 112 118
## [35173] 121 121 121 121 121 121 121 121 121 121 121 120 118 117 115 112 108 101
## [35191]  95  91  87  84  80  75  65  61  60  60  60  60  60  60  60  60  60  60
## [35209]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [35227]  60  60  60  60  60  60  60  60  60  60  60  59  59  59  59  59  58  58
## [35245]  58  57  56  54  53  53  53  52  51  49  48  47  47  46  45  44  42  39
## [35263]  37  35  33  32  34  38  42  43  44  47  51  59  60  54  38  27  15   4
## [35281]   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [35389]   0   0   0   0   0   0   0   1   4   6   8  10  12  14  17  18  19  20
## [35407]  21  22  24  26  27  28  29  30  32  34  35  36  37  38  40  42  43  44
## [35425]  45  46  47  49  51  52  53  54  56  57  59  60  60  64  69  73  78  85
## [35443]  89  93  97 102 109 115 120 121 121 121 121 121 121 121 121 121 121 120
## [35461] 117 115 113 110 105  98  91  87  82  78  74  69  62  60  60  60  60  60
## [35479]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  61  60  60  60
## [35497]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59
## [35515]  59  59  59  58  58  57  57  56  55  53  52  51  51  50  49  46  45  44
## [35533]  43  42  41  39  37  34  32  29  27  25  26  30  33  34  35  37  41  46
## [35551]  44  40  26  16   8   2   0   0   0   0   0   0   0   0   0   0   0   0
## [35569]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [35659]   0   0   0   0   0   0   0   0   0   0   0   0   0   1   4   6   8  10
## [35677]  11  14  16  17  19  20  21  22  24  25  26  28  29  30  32  33  34  35
## [35695]  36  38  39  41  42  43  44  46  46  48  50  51  52  53  55  56  58  59
## [35713]  60  64  67  70  75  81  85  90  94  99 106 112 116 119 121 121 121 120
## [35731] 121 121 121 121 121 119 116 113 111 106 102  95  89  84  80  75  71  66
## [35749]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  61
## [35767]  61  62  61  61  61  61  61  61  61  61  61  61  61  60  60  60  60  60
## [35785]  60  60  60  60  60  59  59  59  58  58  57  57  56  55  54  52  50  49
## [35803]  49  48  47  44  42  41  39  38  36  34  32  28  26  23  20  19  19  22
## [35821]  24  25  25  26  29  32  30  26  15   8   3   0   0   0   0   0   0   0
## [35839]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [35875]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [35893]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [35911]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [35929]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [35947]   0   0   4   5   7   9  11  14  16  17  18  20  21  22  24  25  26  27
## [35965]  28  30  31  33  34  35  36  37  39  40  42  43  44  45  46  48  49  51
## [35983]  52  53  54  56  57  59  60  61  64  67  72  76  81  86  91  96 103 110
## [36001] 114 118 120 120 120 120 120 120 120 120 121 118 115 112 108 104 100  93
## [36019]  87  83  78  74  70  63  60  60  60  60  60  60  60  60  60  60  60  60
## [36037]  60  60  60  60  62  62  62  62  62  62  62  61  61  61  61  61  61  61
## [36055]  61  60  60  60  60  60  60  60  60  60  60  59  59  58  58  57  57  56
## [36073]  56  54  53  51  49  48  47  46  44  41  38  37  35  33  32  28  25  23
## [36091]  20  17  14  12  11  14  16  15  15  16  17  17  16  13   5   2   0   0
## [36109]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36127]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36145]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36163]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36181]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36199]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36217]   0   0   0   0   0   0   0   0   3   5   7   9  11  14  16  17  18  19
## [36235]  20  22  24  25  26  27  28  29  31  32  33  35  35  37  38  40  41  42
## [36253]  43  44  46  47  49  50  51  52  53  55  57  58  59  60  60  61  65  72
## [36271]  78  84  89  94 102 109 113 117 119 119 119 120 120 120 120 120 120 118
## [36289] 113 110 106 102  98  92  86  82  78  73  69  63  60  60  60  60  60  60
## [36307]  60  60  60  60  60  60  60  60  61  62  63  63  63  64  63  63  62  62
## [36325]  62  62  62  62  61  61  61  61  60  60  60  60  60  60  60  60  60  59
## [36343]  58  58  57  56  56  55  55  53  52  50  47  46  45  44  42  38  34  32
## [36361]  30  28  26  23  20  17  14  12   8   5   3   6   7   7   6   6   6   3
## [36379]   3   2   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36397]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36415]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36433]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36451]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36469]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36487]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   3   5   7   8
## [36505]  10  13  15  16  18  19  20  22  23  24  26  26  27  29  30  32  33  34
## [36523]  35  36  38  39  40  41  42  44  45  46  48  49  50  51  53  54  56  57
## [36541]  58  59  59  60  60  69  76  82  88  94 101 108 113 117 118 119 119 119
## [36559] 119 120 120 120 120 117 112 108 105 101  97  91  85  81  77  73  69  62
## [36577]  60  60  60  60  60  60  60  60  60  60  60  60  60  62  63  64  65  65
## [36595]  64  65  64  64  63  63  63  62  62  62  62  61  61  61  60  60  60  60
## [36613]  60  60  60  60  60  59  58  57  56  56  55  55  54  52  51  48  46  44
## [36631]  43  42  39  35  32  29  27  24  22  19  15  12  10   7   3   0   0   0
## [36649]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36667]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36685]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36703]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36721]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36739]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36757]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36775]   0   1   3   4   6   8  10  13  15  16  17  18  20  21  23  24  25  26
## [36793]  27  28  30  31  32  33  34  35  37  39  40  41  42  43  45  46  47  49
## [36811]  49  51  52  53  55  56  57  58  59  60  67  71  77  83  89  94 102 109
## [36829] 113 116 118 118 119 119 119 119 120 120 119 114 111 108 104 101  97  91
## [36847]  85  81  77  73  69  62  60  60  60  60  60  60  60  60  60  60  60  60
## [36865]  62  64  65  66  66  66  66  65  65  64  64  64  63  63  62  62  62  62
## [36883]  61  61  61  60  60  60  60  60  60  60  60  59  58  57  56  55  55  54
## [36901]  53  51  49  47  44  43  41  39  37  34  30  28  25  23  20  16  13  10
## [36919]   7   4   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36937]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36955]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36973]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [36991]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37009]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37027]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37045]   0   0   0   0   0   0   0   0   2   4   6   8   9  12  14  16  17  18
## [37063]  19  21  23  24  25  26  27  28  30  31  32  33  34  35  37  39  40  41
## [37081]  42  43  45  46  48  48  50  51  52  53  55  56  57  58  59  61  69  75
## [37099]  80  86  91  96 102 109 113 116 117 118 118 119 119 119 119 120 119 114
## [37117] 111 108 104 101  97  91  85  81  77  73  69  63  60  60  60  60  60  60
## [37135]  60  60  60  60  60  60  64  66  67  67  67  67  67  67  66  65  65  64
## [37153]  64  63  63  63  62  62  62  61  61  60  60  60  60  60  60  60  60  59
## [37171]  58  57  56  56  56  55  53  51  49  46  44  42  40  38  36  33  29  27
## [37189]  24  22  20  16  12   9   7   3   2   0   0   0   0   0   0   0   0   0
## [37207]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37225]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37243]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37261]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37279]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37297]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37315]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   2   3   5   7
## [37333]   9  12  14  15  17  18  19  21  22  24  24  26  27  28  30  31  32  33
## [37351]  34  35  37  39  40  41  42  43  45  47  48  49  50  51  52  54  56  57
## [37369]  58  59  60  65  73  78  83  88  93  97 103 109 112 115 117 117 118 119
## [37387] 119 119 119 119 119 115 113 109 106 102  98  92  86  82  78  73  69  64
## [37405]  60  60  60  60  60  60  60  60  60  60  60  60  66  68  69  69  69  69
## [37423]  68  67  67  66  66  65  65  64  63  63  63  62  62  62  61  61  61  60
## [37441]  60  60  60  60  60  60  60  60  60  60  60  59  56  54  50  47  45  43
## [37459]  40  38  36  33  29  27  25  22  20  16  13  10   7   4   2   0   0   0
## [37477]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37495]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37513]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37531]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37549]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37567]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37585]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37603]   0   0   1   3   5   7   8  11  14  15  17  18  19  21  22  24  24  26
## [37621]  27  28  30  31  33  33  35  36  38  39  40  41  43  44  45  47  48  49
## [37639]  50  52  53  54  56  57  59  60  62  68  75  80  85  89  94  98 104 109
## [37657] 112 115 116 117 117 118 118 119 119 119 119 117 116 112 108 104 100  94
## [37675]  87  82  78  74  70  65  60  60  60  60  60  60  60  60  60  60  60  66
## [37693]  69  70  71  71  71  70  69  68  67  67  66  66  65  64  64  64  63  63
## [37711]  63  62  62  61  61  61  60  60  60  60  60  60  60  60  60  60  60  60
## [37729]  60  57  53  49  47  45  42  39  37  34  30  28  25  23  21  17  13  11
## [37747]   8   5   3   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37765]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37783]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37801]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37819]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37837]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37855]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [37873]   0   0   0   0   0   0   0   0   1   3   4   6   8  11  14  15  17  18
## [37891]  19  21  22  24  24  26  27  29  31  32  33  34  35  36  38  40  41  42
## [37909]  43  44  46  48  49  50  51  52  53  55  57  58  60  62  65  71  78  82
## [37927]  87  91  95 101 106 109 112 115 116 117 118 118 119 119 119 119 120 120
## [37945] 121 117 112 107 102  95  87  82  77  72  68  64  60  60  60  60  60  60
## [37963]  60  60  60  62  65  69  72  72  72  72  72  71  70  69  68  68  67  66
## [37981]  66  65  64  64  64  63  63  62  62  61  61  61  60  60  60  60  60  60
## [37999]  60  60  60  60  60  60  60  59  55  51  49  46  43  41  39  35  31  29
## [38017]  27  24  22  18  14  12   9   6   3   0   0   0   0   0   0   0   0   0
## [38035]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38053]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38071]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38089]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38107]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38125]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38143]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   2   4   6
## [38161]   7  11  14  15  17  18  19  21  23  24  25  26  27  29  31  32  33  34
## [38179]  35  37  38  40  41  42  43  45  46  48  49  50  52  53  54  56  58  59
## [38197]  60  64  68  76  81  84  88  92  96 101 106 108 111 114 116 117 118 119
## [38215] 119 119 120 120 121 121 121 121 116 110 105  96  86  80  74  67  65  62
## [38233]  61  60  60  60  60  60  60  60  64  66  68  73  74  74  74  74  73  73
## [38251]  71  70  69  68  68  67  67  65  64  64  64  64  63  62  62  61  61  61
## [38269]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  58  54  51  48
## [38287]  46  43  40  37  33  31  29  26  24  20  16  13  10   7   4   0   0   0
## [38305]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38323]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38341]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38359]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38377]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38395]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38413]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38431]   0   0   0   2   3   5   7  10  14  16  17  18  19  21  23  24  25  27
## [38449]  28  30  32  33  34  35  36  38  39  41  42  43  44  45  47  49  50  51
## [38467]  52  53  55  56  59  60  62  67  72  80  86  90  94  99 102 107 110 113
## [38485] 115 119 120 120 120 120 120 120 121 121 121 121 121 121 120 114 108  96
## [38503]  84  76  68  62  60  60  60  60  60  60  60  60  60  66  69  71  72  76
## [38521]  77  76  76  75  75  74  72  71  70  69  69  67  67  66  65  64  64  64
## [38539]  63  63  62  61  61  61  60  60  60  60  60  60  60  60  60  60  60  60
## [38557]  60  60  60  58  54  51  48  46  43  39  36  34  32  30  28  23  18  14
## [38575]  10   7   3   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38593]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38611]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38629]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38647]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38665]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38683]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38701]   0   0   0   0   0   0   0   0   0   1   3   5   7  10  14  16  17  19
## [38719]  20  22  24  25  26  28  29  31  32  34  35  36  37  39  40  42  43  44
## [38737]  45  46  48  49  51  52  53  54  56  58  60  60  64  70  76  84  92  98
## [38755] 104 110 113 115 117 118 121 120 121 121 121 121 121 121 121 121 121 121
## [38773] 121 121 121 121 109  93  84  74  67  63  62  60  60  60  60  60  60  60
## [38791]  67  70  73  75  76  79  79  78  78  77  76  75  74  72  71  70  69  68
## [38809]  67  66  65  65  64  64  64  63  62  61  61  61  60  60  60  60  60  60
## [38827]  60  60  60  60  60  60  60  60  60  60  57  54  51  49  45  43  41  40
## [38845]  38  36  34  28  21  17  12   6   1   0   0   0   0   0   0   0   0   0
## [38863]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38881]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38899]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38917]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38935]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38953]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [38971]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   1   2   4
## [38989]   7  12  14  17  18  20  21  23  25  27  28  29  30  32  34  35  36  37
## [39007]  38  40  41  43  44  45  46  47  49  50  51  52  54  55  56  59  60  60
## [39025]  66  73  79  89 100 107 117 120 121 121 121 121 121 121 121 121 121 121
## [39043] 121 121 121 121 121 121 121 121 121 121 110  93  82  71  63  61  60  60
## [39061]  60  63  65  64  62  63  70  74  77  78  79  81  80  79  78  78  77  76
## [39079]  74  73  71  71  70  69  67  66  66  65  64  64  64  63  62  61  61  61
## [39097]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59  57
## [39115]  55  53  51  51  50  49  49  47  46  37  28  21  15   8   0   0   0   0
## [39133]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [39151]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [39169]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [39187]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [39205]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [39223]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [39241]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [39259]   0   0   0   0   2   3   7  13  16  18  20  21  23  25  27  28  30  31
## [39277]  32  34  36  37  38  39  40  41  42  44  45  46  47  48  49  51  52  53
## [39295]  54  55  56  58  59  60  66  73  80  91 102 110 121 121 121 121 121 121
## [39313] 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 103  88
## [39331]  75  60  62  61  60  60  65  69  71  70  67  71  76  80  81  82  82  83
## [39349]  83  81  80  79  78  77  75  74  72  71  71  69  68  67  66  65  65  64
## [39367]  64  63  62  62  61  61  61  60  60  60  60  60  60  60  60  60  60  60
## [39385]  60  60  60  60  60  60  60  59  59  70  76  71  69  68  65  51  38  31
## [39403]  23  15   8   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [39529]   0   0   0   0   0   0   0   0   0   0   1   3   7  14  17  21  22  24
## [39547]  26  28  30  31  32  34  35  36  38  39  40  41  42  42  44  45  46  47
## [39565]  48  49  50  51  52  53  54  55  56  58  59  60  62  70  77  88  99 107
## [39583] 114 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121
## [39601] 121 121 121 121 103  85  74  60  60  61  60  60  69  73  75  74  72  76
## [39619]  83  85  86  86  86  86  85  83  82  81  79  78  76  75  73  72  71  70
## [39637]  69  67  66  65  65  64  64  63  62  62  61  61  61  60  60  60  60  60
## [39655]  60  59  60  60  60  60  60  60  60  60  60  60  63  66  82 101 121 103
## [39673]  93  91  85  67  51  42  34  26  17   4   0   0   0   0   0   0   0   0
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## [39799]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   2
## [39817]   8  16  20  24  26  28  30  32  34  35  36  37  38  39  40  41  42  43
## [39835]  43  45  46  46  47  48  49  49  51  52  53  53  54  55  56  57  58  59
## [39853]  60  66  73  84  96 103 111 117 121 121 120 120 121 121 121 121 121 121
## [39871] 121 121 121 121 121 121 121 121 121 121 103  86  76  70  63  60  60  67
## [39889]  75  79  81  81  79  83  89  90  90  90  89  88  86  85  83  82  81  80
## [39907]  78  76  74  73  71  70  68  67  66  65  64  64  63  62  62  62  61  61
## [39925]  60  60  60  60  60  60  59  58  58  59  60  60  60  60  60  60  60  60
## [39943]  67  76 102 121 118 120 115 114 112  90  68  56  47  39  29  11   0   0
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## [40087]   0   0   0   0   0   1   8  18  23  28  31  34  35  37  39  39  40  41
## [40105]  41  42  43  44  45  45  46  47  48  48  49  49  50  51  52  53  53  54
## [40123]  55  55  56  57  58  59  60  62  67  79  92 100 108 113 117 120 119 120
## [40141] 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 104  88
## [40159]  80  75  70  68  69  75  82  85  87  87  86  91  94  95  95  94  93  91
## [40177]  89  87  85  83  82  81  79  76  74  73  71  70  67  65  64  64  63  63
## [40195]  63  62  61  61  61  60  60  60  60  60  59  58  57  56  56  56  57  59
## [40213]  60  60  58  57  57  59  60  73  90 109 121 121 121 121 121 114  91  75
## [40231]  60  52  42  20   6   1   0   0   0   0   0   0   0   0   0   0   0   0
## [40249]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [40267]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [40285]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [40357]   0   0   0   0   0   0   0   0   0   0   0   0  10  21  27  33  38  42
## [40375]  43  44  44  45  45  45  45  46  46  47  47  48  48  49  49  50  50  51
## [40393]  51  52  53  53  54  54  55  56  56  57  58  59  59  60  60  73  88  97
## [40411] 105 110 114 116 118 119 120 121 121 121 121 121 121 121 121 121 121 121
## [40429] 121 121 121 121 105  91  85  81  77  76  78  83  89  92  94  94  94  98
## [40447] 100 100  99  98  96  93  90  89  87  85  83  82  79  76  74  71  69  67
## [40465]  65  62  62  62  62  62  61  61  61  61  60  60  60  60  60  59  58  57
## [40483]  56  55  54  55  55  56  56  55  54  53  52  53  57  60  77  84  97 121
## [40501] 121 121 121 121 106  91  72  60  51  29  10   2   0   0   0   0   0   0
## [40519]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [40537]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [40555]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [40573]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [40627]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [40645]  12  25  33  41  48  55  52  51  50  50  50  49  49  49  50  50  50  50
## [40663]  50  51  51  51  52  52  52  53  53  54  54  55  55  56  56  57  58  58
## [40681]  59  60  60  70  86  95 103 108 112 114 117 119 120 121 121 121 121 121
## [40699] 121 121 121 121 121 121 121 121 121 121 106  95  91  87  84  84  87  92
## [40717]  95  98 100 101 102 105 105 105 103 102  99  96  93  91  89  87  85  84
## [40735]  80  76  72  69  66  64  62  61  60  60  61  61  61  61  60  60  60  60
## [40753]  60  60  59  58  57  56  55  53  52  52  52  53  53  52  50  49  47  48
## [40771]  52  54  57  57  59  72  95 105 118 121 121 114  84  67  60  30   8   0
## [40789]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [40807]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [40915]   0   0   0   0   0   0  14  28  38  48  60  58  59  57  56  55  54  53
## [40933]  53  53  53  53  53  53  53  53  53  53  53  53  53  54  54  54  55  55
## [40951]  55  56  56  57  58  58  59  59  60  74  84  93 100 105 109 112 116 119
## [40969] 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 108 100
## [40987]  97  94  92  92  95  99 102 104 106 107 109 112 110 110 108 106 103 100
## [41005]  97  95  93  91  90  87  82  76  68  65  63  63  61  61  60  60  60  60
## [41023]  60  60  60  60  60  60  60  59  59  58  56  55  54  52  51  50  50  51
## [41041]  51  49  47  45  44  44  45  47  48  47  50  54  60  60  85 101 121  85
## [41059]  81  60  43  22   0   1   0   0   0   0   0   0   0   0   0   0   0   0
## [41077]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [41185]   0   0   0   0   0   0   0   0   0   0   0   0  14  28  39  49  60  60
## [41203]  60  60  59  58  56  56  55  55  54  54  54  54  54  54  54  54  54  54
## [41221]  54  54  55  55  55  56  56  56  57  57  58  58  59  60  60  74  83  91
## [41239]  97 102 106 111 115 119 121 121 121 121 121 121 121 121 121 121 121 121
## [41257] 121 121 121 121 111 105 103 101  99 100 103 106 108 110 112 114 117 119
## [41275] 116 115 112 110 107 104 101  99  97  96  96  91  85  75  60  60  60  61
## [41293]  61  60  60  60  60  60  60  60  60  60  60  60  60  59  58  57  55  54
## [41311]  52  50  49  48  48  48  47  44  43  41  39  38  39  39  39  38  39  42
## [41329]  43  47  52  52  52  50  47  39  28   7   1   0   0   0   0   0   0   0
## [41347]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [41455]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [41473]  12  27  38  49  60  60  60  60  60  60  59  58  58  57  57  56  56  56
## [41491]  56  56  55  55  55  55  55  56  56  56  56  56  56  57  57  58  58  59
## [41509]  59  60  64  74  81  88  94  99 104 109 115 119 121 121 121 121 121 121
## [41527] 121 121 121 121 121 121 121 121 121 121 115 111 110 109 107 109 111 113
## [41545] 114 115 117 119 121 121 121 123 119 116 115 112 110 109 109 109 113 102
## [41563]  98  89  79  66  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [41581]  60  59  57  56  54  53  51  48  46  46  45  45  44  40  38  36  34  32
## [41599]  32  31  30  28  28  28  28  28  28  27  26  20  17  13  10   0   0   0
## [41617]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [41635]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [41725]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [41743]   0   0   0   0   0   0  10  25  36  48  60  60  60  60  60  60  60  60
## [41761]  60  59  58  58  58  57  57  57  57  57  56  56  56  56  56  56  57  57
## [41779]  57  57  58  58  59  59  60  60  63  73  79  85  91  96 101 108 114 119
## [41797] 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 120 118
## [41815] 117 116 116 116 119 119 119 120 120 121 121 121 121 129 127 121 121 119
## [41833] 118 118 119 121 121 119 121 108  96  82  65  60  60  60  60  60  60  60
## [41851]  60  60  60  60  60  60  59  58  57  55  53  51  49  46  44  43  42  41
## [41869]  40  36  33  31  28  26  24  23  20  17  16  14  11   7   6   5   4   1
## [41887]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [41905]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [42013]   0   0   0   0   0   0   0   0   0   0   0   0   5  20  32  42  52  60
## [42031]  60  60  60  60  60  60  60  60  59  59  59  58  58  58  58  58  57  57
## [42049]  57  57  57  57  58  58  58  58  58  59  59  60  60  60  63  71  77  83
## [42067]  88  94  99 107 115 120 121 121 121 121 121 121 121 121 121 121 121 121
## [42085] 121 121 121 121 121 121 120 120 119 119 121 125 126 126 126 126 127 123
## [42103] 121 136 135 135 127 121 121 121 121 121 130 124 121 121 109  91  76  65
## [42121]  60  60  60  60  60  60  60  60  60  60  60  60  59  58  56  54  52  50
## [42139]  48  45  42  40  39  38  36  32  28  26  24  21  19  16  13   9   7   3
## [42157]   0   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [42175]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [42283]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [42301]   2  15  27  38  50  60  60  60  60  60  60  60  60  60  60  60  59  59
## [42319]  59  59  59  59  58  58  58  58  58  58  58  58  58  58  58  59  59  60
## [42337]  60  60  63  71  76  82  87  93  98 106 115 121 121 121 121 121 121 121
## [42355] 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 128 136
## [42373] 138 138 139 141 142 142 153 152 150 152 145 139 138 137 137 143 145 137
## [42391] 128 121 117 102  82  63  61  60  60  60  60  60  60  60  60  60  60  60
## [42409]  58  57  55  53  51  48  46  43  40  37  36  34  32  28  25  22  20  17
## [42427]  15  12   8   5   3   0   0   0   0   0   0   0   0   0   0   0   0   0
## [42445]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [42571]   0   0   0   0   0   0   0   9  22  35  48  60  60  60  60  60  60  60
## [42589]  60  60  60  60  60  60  60  59  59  59  59  59  59  59  59  59  59  59
## [42607]  59  59  59  59  60  60  60  60  63  71  76  81  86  91  98 105 112 116
## [42625] 120 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121 121
## [42643] 121 121 121 121 140 146 146 147 148 151 153 159 171 168 167 170 161 155
## [42661] 154 153 154 160 161 150 138 128 121 108  88  73  60  60  60  60  60  60
## [42679]  60  60  60  60  60  60  58  56  54  52  50  47  45  41  37  35  33  31
## [42697]  28  25  21  19  17  14  12   9   5   2   0   0   0   0   0   0   0   0
## [42715]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [42841]   0   0   0   0   0   0   0   0   0   0   0   0   0   0  15  30  46  60
## [42859]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  59
## [42877]  59  59  59  59  59  59  59  59  59  60  60  60  60  60  63  70  75  80
## [42895]  85  89  96 104 108 112 116 118 121 121 121 121 121 121 121 124 125 121
## [42913] 121 121 121 121 121 121 129 134 138 144 155 160 159 160 162 165 170 178
## [42931] 183 180 180 184 177 171 169 169 170 177 177 165 151 137 125 121  98  78
## [42949]  63  60  60  60  60  60  60  60  60  60  60  60  58  55  54  51  48  46
## [42967]  43  39  36  33  31  28  26  23  19  16  14  11   9   5   2   0   0   0
## [42985]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [43129]   0   0   4  23  40  55  60  60  60  60  60  60  60  60  60  60  60  60
## [43147]  60  60  60  60  60  60  60  60  60  59  59  59  59  59  59  60  60  60
## [43165]  60  60  62  69  73  78  82  87  93 101 106 110 113 116 118 121 121 121
## [43183] 121 121 121 132 132 127 121 121 121 121 127 140 145 151 154 161 172 174
## [43201] 172 172 173 176 180 206 199 197 201 198 193 182 182 180 182 195 193 182
## [43219] 164 141 121 107  96  74  61  60  60  60  60  60  60  60  60  60  60  59
## [43237]  57  55  53  50  47  45  42  38  34  32  29  27  24  21  17  14  12   9
## [43255]   7   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [43399]   0   0   0   0   0   0   0   0   0  13  30  46  60  60  60  60  60  60
## [43417]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [43435]  60  60  60  60  60  60  60  60  62  67  71  75  79  83  91  97 102 106
## [43453] 109 113 116 120 126 133 131 130 138 144 144 140 138 138 134 138 146 158
## [43471] 163 167 171 178 182 182 180 179 181 187 203 233 222 217 219 221 222 229
## [43489] 223 203 209 220 230 202 182 150 121 108  91  66  60  60  60  60  60  60
## [43507]  60  60  60  60  60  59  57  54  52  49  47  44  42  38  34  31  29  26
## [43525]  24  20  16  14  11   9   6   1   0   0   0   0   0   0   0   0   0   0
## [43543]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [43561]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [43669]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   9  24  40
## [43687]  58  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [43705]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  61  66  70  74
## [43723]  78  82  88  95  99 103 107 111 114 120 136 147 146 150 152 155 156 154
## [43741] 153 153 153 161 171 182 182 182 182 181 182 182 182 182 194 202 224 243
## [43759] 243 237 234 236 243 242 243 243 236 243 238 224 182 158 141 121 107  82
## [43777]  60  60  60  60  60  60  60  60  60  60  60  59  56  53  51  49  46  44
## [43795]  41  37  34  31  29  26  24  20  16  14  11   8   6   2   0   0   0   0
## [43813]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [43849]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [43921]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [43939]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [43957]   0   0   0   0  17  33  54  60  60  60  60  60  60  60  60  60  60  60
## [43975]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [43993]  60  60  60  65  69  72  76  80  87  93  97 101 105 110 113 120 147 164
## [44011] 164 166 165 167 169 169 167 168 170 175 181 181 182 182 182 182 182 182
## [44029] 182 194 205 218 238 241 243 241 239 238 239 243 243 243 243 242 242 230
## [44047] 182 169 153 138 121  99  76  60  60  60  60  60  60  60  60  60  60  59
## [44065]  56  53  51  48  46  43  40  36  34  31  29  26  24  20  16  14  11   9
## [44083]   6   3   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44101]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44119]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [44209]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44227]   0   0   0   0   0   0   0   0   0   0  14  29  52  60  60  60  60  60
## [44245]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [44263]  60  60  60  60  60  60  60  60  60  64  67  71  75  79  85  92  96 100
## [44281] 104 109 113 119 162 182 182 182 178 178 182 182 179 178 179 181 182 177
## [44299] 181 182 182 182 182 182 182 196 208 220 236 241 243 238 236 236 239 242
## [44317] 243 243 243 243 243 236 214 182 169 153 138 115  92  77  60  60  60  60
## [44335]  60  60  60  60  60  59  55  52  50  48  46  44  40  36  34  31  29  26
## [44353]  24  20  16  14  11   9   6   3   0   0   0   0   0   0   0   0   0   0
## [44371]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44389]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44407]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44425]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [44479]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44497]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  12  25
## [44515]  45  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [44533]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  63  66  70
## [44551]  74  78  85  91  95  99 104 108 114 120 166 180 181 182 182 182 182 182
## [44569] 182 182 182 178 164 170 178 181 182 182 182 182 182 193 201 211 223 233
## [44587] 233 232 232 233 236 240 243 243 243 243 243 243 243 218 191 175 152 129
## [44605] 106  91  86  70  60  60  60  60  60  60  60  59  55  52  50  48  46  44
## [44623]  40  37  35  32  29  27  24  20  17  14  11   9   6   3   0   0   0   0
## [44641]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44659]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44677]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44695]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [44731]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44749]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44767]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44785]   0   0   0   0   9  22  42  60  60  60  60  60  60  60  60  60  60  60
## [44803]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [44821]  60  60  60  60  64  68  73  77  84  90  95  99 103 108 115 121 146 164
## [44839] 182 182 182 182 182 182 182 182 182 169 149 163 177 182 182 182 182 182
## [44857] 182 188 191 199 209 213 216 222 225 228 232 238 243 243 243 236 238 241
## [44875] 243 243 207 192 175 151 127 114 112  97  93  85  70  60  60  60  60  58
## [44893]  56  53  52  50  48  46  42  38  36  33  30  28  25  21  17  14  11   9
## [44911]   6   3   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44929]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44947]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44965]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [44983]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45001]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45019]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45037]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45055]   0   0   0   0   0   0   0   0   0   0   3  17  37  56  60  60  60  60
## [45073]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [45091]  60  60  60  60  60  60  60  60  60  60  60  66  71  76  83  89  94  98
## [45109] 103 107 114 121 139 158 176 182 182 182 182 182 182 182 168 140 121 146
## [45127] 174 182 184 183 182 182 182 182 182 187 193 197 206 210 217 221 227 233
## [45145] 237 243 232 230 229 231 243 217 208 196 188 172 142 129 122 121 121 113
## [45163]  97  85  70  60  60  59  57  56  54  53  50  48  44  40  37  35  32  29
## [45181]  26  21  17  14  11   8   6   2   0   0   0   0   0   0   0   0   0   0
## [45199]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45217]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45235]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [45271]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45289]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45307]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45325]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  10
## [45343]  31  51  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [45361]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  64  66
## [45379]  71  75  82  89  93  97 102 106 114 121 135 149 164 182 177 182 182 182
## [45397] 182 154 142 124 121 121 159 182 187 185 182 182 182 182 182 182 182 182
## [45415] 188 195 204 211 219 224 228 225 221 216 214 210 213 211 204 197 190 181
## [45433] 151 130 122 121 121 121 121 113  97  87  70  60  60  64  59  58  55  52
## [45451]  47  43  40  37  33  30  26  22  17  14  10   8   5   2   0   0   0   0
## [45469]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45487]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45505]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45523]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45541]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45559]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [45595]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45613]   0   0   0   0   0   8  30  51  60  60  60  60  60  60  60  60  60  60
## [45631]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [45649]  60  60  60  60  64  68  71  75  81  87  92  96 101 105 113 121 130 142
## [45667] 151 153 160 170 172 167 148 131 121 126 121 145 158 182 189 187 183 182
## [45685] 182 182 182 182 182 182 182 182 196 203 210 214 217 214 209 203 198 187
## [45703] 194 195 195 193 189 184 150 121 124 119 121 121 121 121 121 121 100  80
## [45721]  79  82  79  68  60  57  51  46  42  39  35  31  27  21  15  12   9   6
## [45739]   3   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45757]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [45793]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [45829]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45847]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45865]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [45883]   0   0   0   0   0   0   0   0   0   0   0   0  32  60  56  59  60  60
## [45901]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [45919]  60  60  60  60  60  60  60  60  60  60  63  66  70  74  80  86  90  94
## [45937]  99 103 110 116 121 131 134 138 142 147 141 135 121 125 124 123 121 156
## [45955] 176 188 201 193 182 182 182 192 196 191 188 182 189 192 194 198 202 205
## [45973] 206 204 200 195 189 182 181 185 187 187 186 176 144 126 118 112 112 116
## [45991] 121 121 121 121 121 111 117 113 101  89  74  64  56  50  45  41  36  31
## [46009]  24  17  13   9   5   3   1   0   0   0   0   0   0   0   0   0   0   0
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## [46153]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   8
## [46171]  37  60  60  59  59  60  60  60  60  60  60  60  60  60  60  60  60  60
## [46189]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  63
## [46207]  67  71  77  84  88  92  96 100 107 113 117 121 121 127 130 132 130 121
## [46225] 124 122 123 122 155 182 202 223 243 208 194 182 201 213 223 215 209 205
## [46243] 206 203 200 200 200 200 200 199 195 190 183 175 170 172 182 182 182 152
## [46261] 121 125 108 100  96  96 112 121 121 121 121 121 121 120 121 109  87  71
## [46279]  62  56  48  42  36  31  22  14   9   3   0   0   0   0   0   0   0   0
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## [46441]   0   0   0   0   0  15  60  58  60  60  60  60  60  60  60  60  60  60
## [46459]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [46477]  60  60  60  60  60  60  64  67  74  80  84  88  92  96 101 107 111 113
## [46495] 114 118 122 123 120 121 121 122 121 132 172 197 233 240 236 225 214 218
## [46513] 223 236 242 236 230 225 222 217 214 212 210 208 208 204 198 192 184 168
## [46531] 154 145 135 137 144 137 126 114 100  87  77  75  96 110 121 121 121 115
## [46549] 119 121 121 121  94  71  61  58  51  44  37  31  22  13   7   0   0   0
## [46567]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
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## [46639]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [46657]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [46675]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [46693]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [46711]   0   0   0   0   0   0   0   0   0   0   0  15  60  60  60  60  60  60
## [46729]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [46747]  60  60  60  60  60  60  60  60  60  60  60  60  60  64  70  76  79  83
## [46765]  86  89  94  98  99  96  99 105 111 114 117 119 120 121 121 152 202 228
## [46783] 232 243 240 240 236 235 243 241 247 250 246 243 235 231 228 228 226 225
## [46801] 224 216 207 198 186 162 140 121 123 119 121 121 104  96  84  72  60  62
## [46819]  80  95 106 121 101  96 109 121 121 121  89  60  62  55  50  46  39  33
## [46837]  23  14   7   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [46855]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [46873]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [46891]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [46909]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [46927]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [46945]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [46963]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [46981]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  14
## [46999]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [47017]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [47035]  60  60  64  70  74  76  79  82  85  86  86  83  85  89  98 108 113 119
## [47053] 121 121 132 168 233 241 243 243 243 243 242 241 243 243 254 263 271 262
## [47071] 250 242 241 249 244 247 245 236 222 207 188 162 128 120 116 112  99  80
## [47089]  80  76  66  62  63  61  65  78  85  81  78  69  85  99 121 121  85  73
## [47107]  61  56  51  46  41  35  25  16   9   4   0   0   0   0   0   0   0   0
## [47125]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47143]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47161]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47179]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47197]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47215]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47233]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47251]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47269]   0   0   0   0   0  14  60  60  61  61  61  61  60  60  60  66  67  64
## [47287]  60  66  63  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [47305]  60  60  60  60  60  60  60  60  60  64  67  69  71  72  74  74  71  69
## [47323]  70  72  87 102 111 121 121 121 142 170 243 243 242 243 243 243 243 243
## [47341] 243 243 264 285 304 288 273 266 266 267 269 262 255 247 243 220 196 182
## [47359] 121 114 112 101  86  63  60  60  62  60  61  61  60  60  60  60  60  62
## [47377]  60  76  99  99  76  67  63  59  55  49  44  38  29  19  13   7   1   0
## [47395]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47413]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47431]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47449]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47467]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47485]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47503]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47521]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47539]   0   0   0   0   0   0   0   0   0   0   0  12  60  60  61  64  65  64
## [47557]  60  60  72  75  77  75  75  74  71  67  62  60  60  60  60  60  60  60
## [47575]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  61  62
## [47593]  63  64  64  63  61  60  60  60  74  93 103 111 118 121 136 168 213 238
## [47611] 242 243 243 246 249 252 261 269 277 296 302 304 297 290 288 289 295 282
## [47629] 268 253 243 228 200 182 138 121 122 115  96  69  62  60  60  60  60  61
## [47647]  60  60  60  60  60  60  60  60  76  67  63  63  61  61  60  55  49  42
## [47665]  32  22  16  10   4   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47683]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47701]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47719]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47737]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47755]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47773]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47791]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47809]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   7
## [47827]  40  60  63  67  74  74  64  77  82  86  88  87  87  84  79  74  69  64
## [47845]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [47863]  60  60  60  60  60  60  60  60  61  60  60  60  60  60  67  85  95 103
## [47881] 111 117 121 148 170 182 243 243 243 250 267 280 304 294 290 300 304 304
## [47899] 304 304 302 304 303 304 286 261 243 227 195 172 160 150 128 121 103  80
## [47917]  66  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  61
## [47935]  60  60  60  60  57  47  36  25  18  12   5   0   0   0   0   0   0   0
## [47953]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47971]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [47989]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48007]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48025]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48043]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48061]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48079]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48097]   0   0   0   0   0   0  32  60  68  79  94  92  85  90  95  97  99  99
## [48115]  98  92  87  81  75  69  62  60  60  60  60  60  60  60  60  60  60  60
## [48133]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [48151]  60  60  70  80  89  97 105 113 119 134 157 168 177 213 233 251 266 277
## [48169] 296 304 302 303 304 304 304 304 304 304 304 304 304 267 243 233 207 182
## [48187] 168 161 142 121 113  91  79  69  60  60  60  60  60  60  60  60  60  60
## [48205]  60  60  60  60  60  60  60  60  60  60  54  50  38  27  20  13   7   0
## [48223]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48241]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48259]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48277]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48295]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48313]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48331]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48349]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48367]   0   0   0   0   0   0   0   0   0   0   0   0  29  60  77  96 121 105
## [48385] 101 104 106 108 110 112 110 102  96  89  81  74  65  60  60  60  60  60
## [48403]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60
## [48421]  60  60  60  60  60  60  60  60  70  80  86  93 100 108 118 130 145 155
## [48439] 163 172 182 230 255 259 275 291 304 304 304 304 304 304 304 304 304 304
## [48457] 295 272 247 243 221 201 189 183 169 134 120 103  92  82  68  60  60  60
## [48475]  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  60  54  47
## [48493]  39  29  22  16   9   4   0   0   0   0   0   0   0   0   0   0   0   0
## [48511]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48529]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48547]   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
## [48565]   0   0   0   0   0   0   0   0   0   0   0   0

That makes sense, because our test object didn’t come from a file, so R didn’t leave its data on disk.

test@data@inmemory

## [1] TRUE

test@data@fromdisk

## [1] FALSE

Histogram is a great way to view distribution of data.

hist(DEM[,],
     main = "Distribution of elevation values",
     xlab = "Elevation (meters)", ylab = "Frequency",
     col = "springgreen")

Check the CRS (aka projection) of the DEM raster data.

Transform (or reproject) the CRS of the SF tracts vector data to match it.

We can transform the CRS of an sf object with sf::st_transform

#check out its CRS
st_crs(DEM)

## Coordinate Reference System:
##   User input: NAD27 (with axis order normalized for visualization) 
##   wkt:
## GEOGCRS["NAD27 (with axis order normalized for visualization)",
##     DATUM["North American Datum 1927",
##         ELLIPSOID["Clarke 1866",6378206.4,294.978698213898,
##             LENGTHUNIT["metre",1]]],
##     PRIMEM["Greenwich",0,
##         ANGLEUNIT["degree",0.0174532925199433]],
##     CS[ellipsoidal,2],
##         AXIS["geodetic longitude (Lon)",east,
##             ORDER[1],
##             ANGLEUNIT["degree",0.0174532925199433,
##                 ID["EPSG",9122]]],
##         AXIS["geodetic latitude (Lat)",north,
##             ORDER[2],
##             ANGLEUNIT["degree",0.0174532925199433,
##                 ID["EPSG",9122]]]]

#or just its proj4string
proj4string(DEM)

## [1] "+proj=longlat +datum=NAD27 +no_defs"

# Reproject tracts to our DEM projection
SFtracts_NAD27 = st_transform(SFtracts_NAD83, st_crs(DEM))
st_crs(SFtracts_NAD27)

## Coordinate Reference System:
##   User input: NAD27 (with axis order normalized for visualization) 
##   wkt:
## GEOGCRS["NAD27 (with axis order normalized for visualization)",
##     DATUM["North American Datum 1927",
##         ELLIPSOID["Clarke 1866",6378206.4,294.978698213898,
##             LENGTHUNIT["metre",1]]],
##     PRIMEM["Greenwich",0,
##         ANGLEUNIT["degree",0.0174532925199433]],
##     CS[ellipsoidal,2],
##         AXIS["geodetic longitude (Lon)",east,
##             ORDER[1],
##             ANGLEUNIT["degree",0.0174532925199433,
##                 ID["EPSG",9122]]],
##         AXIS["geodetic latitude (Lat)",north,
##             ORDER[2],
##             ANGLEUNIT["degree",0.0174532925199433,
##                 ID["EPSG",9122]]]]

Plot the DEM with the SF Tracts overlayed

# Why do we set the value for ext?
plot(DEM, ext=extent(SFtracts_NAD27))

# Overlay the tracts
plot(SFtracts_NAD27$geometry, add=T)

Above, we reprojected the vector sf object SFtracts to a new object with the same CRS as the DEM raster.

Similarly, you can reproject the DEM with raster::projectRaster

• Note, the syntax is similar to sf::st_transform

#Transform the CRS 
DEM_NAD83 = projectRaster(DEM, projectExtent(DEM, st_crs(SFtracts_NAD83)))

## Warning in wkt(pto): CRS object has no comment

## Warning in rgdal::rawTransform(projfrom, projto, nrow(xy), xy[, 1], xy[, : Using
## PROJ not WKT2 strings

## Error in rgdal::rawTransform(projfrom, projto, nrow(xy), xy[, 1], xy[, : target crs creation failed: generic error of unknown origin

Oops! What went wrong?

That’s not a very informative error message…

Let’s read the docs!

?projectRaster

Looks like projectRaster requires the crs argument to be an object of type (uppercase) ‘CRS’ class".

Is it?

class(st_crs(SFtracts_NAD83))

## [1] "crs"

We need to be careful when working between the raster and sf packages, because raster is an older package and still depends on sp.

This (lowercase) crs class is defined by the sf package and it is returned by sf::st_crs(SFtracts_NAD83) because SFtracts_NAD83 is an sf object. Picky!

This (uppercase) CRS class is defined by the sp/raster package and is used to transform the CRS of a raster or sp object.

However, we can actually just extract the proj4string from our sf crs-class object and use that as our argument instead!

#Transform the CRS 

# Check proj4string
st_crs(SFtracts_NAD83)$proj4string

## [1] "+proj=longlat +datum=NAD83 +no_defs"

# Use it to reproject the DEM
DEM_NAD83 = projectRaster(DEM, projectExtent(DEM, st_crs(SFtracts_NAD83)$proj4string))

# plot it
plot(DEM_NAD83, ext=extent(SFtracts_NAD83))
plot(SFtracts_NAD83$geometry, col=NA, add=T)

Now, we can check equivalence of the CRSs

# Compare the CRS of these objects using sf::st_crs

# NAD27 (epsg = 4267)
st_crs(SFtracts_NAD27) == st_crs(DEM)

## [1] TRUE

# NAD83 (epsg = 4269)
st_crs(DEM_NAD83) == st_crs(SFtracts_NAD83)

## [1] TRUE

As we mentioned in Part I, sp was for a long time the primary geospatial package in R.

sf has now eclipsed this package (along with the ‘rgdal’ and ‘rgeos’ packages).

However, as you can see, not all geospatial packages have made the transition already.

You may sometimes run into issues such as the one we just experienced, where you can find an easy workaround.

Other times, however, you may actually need to work with sp objects instead of sf ones.

Luckily, this is easy!

To convert from sf to sp, sf provides the as_Spatial function.

Let’s convert SFhomes15_sf, then look at its string representation.

Note that it looks very similar to the metadata of a raster object.

SFhomes15_sp <- as_Spatial(SFhomes15_NAD83)
SFhomes15_sp

## class       : SpatialPointsDataFrame 
## features    : 5849 
## extent      : -122.5107, -122.3696, 37.70821, 37.80612  (xmin, xmax, ymin, ymax)
## crs         : +proj=longlat +datum=NAD83 +no_defs 
## variables   : 17
## names       : FiscalYear,  SalesDate,                              Address, YearBuilt, NumBedrooms, NumBathrooms, NumRooms, NumStories, NumUnits, AreaSquareFeet, ImprovementValue, LandValue,     Neighborhood,                              Location, SupeDistrict, ... 
## min values  :       2015, 2015-01-02, 0000 0000                       0000,        24,           0,            0,        0,          0,        0,              0,                0,         0,                 , (37.7082125474599, -122.456157054616),            1, ... 
## max values  :       2015, 2015-12-31, S000 3016 SACRAMENTO          ST0000,      2016,          13,           13,       43,         75,        9,          40000,          1979737,   2614268, Western Addition, (37.8061200328565, -122.419485868976),           11, ...

And look at its structure, which is also similar to that of the DEM raster.

str(SFhomes15_sp)

That makes sense, because the raster and sp packages are designed to feel as standardized and consistent as possible.

There are differences, however!

Some are just stylistic:

• sp @bbox instead of raster @extent
• sp @proj4string instead of raster @crs

Some come from the difference between the vector and raster data models:

sp vector objects have - no dimensions attribute - no resolution (this is a concept for vector data, but is not key metadata) - a @data slot is a data.frame (a.k.a. an “attribute table”)

sp creates objects that pertain to any of a number of classes, which conform to the Spatial*DataFrame convention:

• SpatialPointsDataFrame
• SpatialLinesDataFrame
• SpatialPolygonsDataFrame
• etc.

sp Spatial objects can then be transformed, subsetted, analyzed, and plotted, using a variety of packages that may not be compatible (yet?) with sf.

Here’s a plot:

plot(SFhomes15_sp)

And if you need to convert from sp to sf, there’s a function for that too (which we already saw in Part 1!).

SFhomes15_sfagain <- st_as_sf(SFhomes15_sp)
plot(SFhomes15_sfagain$geometry)

plot(SFhomes15_sfagain['totvalue'])

We will not go into any further detail on sp in this workshop.

However, if you find you need to learn more then please visit our former R geospatial workshop, which is based on sp.

(It uses the same data and runs more or less the same operations as this workshop, so the comparison with this workshop should highlight all the differences between sf and sp.)

Since the raster data covers a larger area than our vector data / area of interest, we can clip, or crop, it using the raster::crop function.

# clip the NAD83 CRS version of the rasters to SFtracts 
DEM_NAD83_crop <- crop(DEM_NAD83, SFtracts_NAD83)

# Clip the NAD27 CRS version
DEM_crop <- crop(DEM, SFtracts_NAD27)

You can plot raster and vector

plot(DEM_NAD83_crop)

Here we plot the NAD83 CRS version.

# plot together
plot(DEM_NAD83_crop)
plot(SFtracts_NAD83$geometry, add=T, border="black")

Notice that the clipping (or cropping) operation reduced our dataset to just the extent of the census-tract dataset.

But it still left us with values outside of the census tracts themselves (because they are areas outside the city of San Francisco, eg Marin & Tiburon).

For some purposes, we may want to get rid of those values as well.

We can do this with an operation called masking.

DEM_NAD83_crop_masked = mask(DEM_NAD83_crop, SFtracts_NAD83)

Here’s what that gives us, compared to the unmasked object:

# What's different?
DEM_NAD83_crop_masked

## class      : RasterLayer 
## dimensions : 187, 224, 41888  (nrow, ncol, ncell)
## resolution : 0.0008333663, 0.0008333239  (x, y)
## extent     : -122.5148, -122.3281, 37.70781, 37.86364  (xmin, xmax, ymin, ymax)
## crs        : +proj=longlat +datum=NAD83 +no_defs 
## source     : memory
## names      : san_francisco.e 
## values     : 0, 269.8798  (min, max)

DEM_NAD83_crop

## class      : RasterLayer 
## dimensions : 187, 224, 41888  (nrow, ncol, ncell)
## resolution : 0.0008333663, 0.0008333239  (x, y)
## extent     : -122.5148, -122.3281, 37.70781, 37.86364  (xmin, xmax, ymin, ymax)
## crs        : +proj=longlat +datum=NAD83 +no_defs 
## source     : memory
## names      : san_francisco.e 
## values     : 0, 303.9921  (min, max)

Still a rectangular grid of cells (because a raster will always be rectangular).

Still has the same nrow and ncol as the unmasked object.

What masking did was to set the cells that lie outside our dataset to NAs.

plot(DEM_NAD83_crop_masked)
plot(st_geometry(SFtracts_NAD83), add = T, col = NA)

We can make an interactive plot using tmap

my_map <- tm_shape(DEM_NAD83_crop_masked) +
  tm_raster() +
tm_shape(SFtracts_NAD83) + 
  tm_borders()

# Set mode to interactive
tmap_mode("view")

my_map

And now that we’ve manipulated our data as desired, we can write it to disk if we like!

# write our reprojected, cropped data to the data directory, using the Geotiff format
# (and allow R to overwrite if file already exists)
writeRaster(DEM_NAD83_crop_masked, 
            filename = here("outdata",
                            "DEM_reproject_crop.tif"), 
            format = "GTiff",
            overwrite = T)

This section will feature a number of challenges, to get you practicing some of the material we’ve already covered today.

We can use the raster::extract function to get the elevation values for each tract.

# get the elevation for every cell in each of the census tracts
elev <- extract(DEM_NAD83_crop, SFtracts_NAD83)

#what did that give us?
head(elev)

## [[1]]
##  [1] 55.99014 57.99510 57.99514 58.99756 58.99757 58.99759 59.99757 59.99758
##  [9] 59.99759 59.99761 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
## [17] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
## [25] 59.99361 60.00000 60.00000
## 
## [[2]]
##  [1] 59.00234 59.00237 59.00236 59.00234 58.99395 59.00000 58.99399 58.00234
##  [9] 57.99628 58.00235 58.00233 57.99399 56.99629
## 
## [[3]]
##  [1] 57.99226 57.99485 57.99486 57.99490 58.99742 58.99743 58.99744 58.99745
##  [9] 59.99743 59.99744 59.99745 59.99746 60.00000 60.00000 60.00000 60.00000
## [17] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
## [25] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
## [33] 60.00000 60.00000 60.00000
## 
## [[4]]
##  [1] 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60
## [26] 60 60 60 60 60 60 60 60 60 60
## 
## [[5]]
##  [1] 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60
## [26] 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60
## 
## [[6]]
##  [1] 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60
## [26] 60 60 60 60 60 60 60 60 60 60 60

tail(elev)

## [[1]]
##   [1] 182.00000 181.98596 178.99049 175.98344 171.98093 166.96416 157.95902
##   [8] 146.96586 137.00367 134.04383 182.00000 181.98131 177.98823 174.98817
##  [15] 171.96701 164.94782 152.94492 138.95619 126.01034 123.02937 182.00000
##  [22] 182.00000 182.00000 181.99996 181.99082 181.98403 181.92564 170.91575
##  [29] 155.91761 139.90771 121.01113 121.00922 121.99968 121.01580 182.00000
##  [36] 182.00000 182.02765 188.05093 201.94500 199.92646 192.94707 186.96988
##  [43] 182.91185 169.91199 157.92185 149.84558 130.93040 121.00220 121.00001
##  [50] 121.00219 121.02617 181.00001 181.00687 182.00000 182.00000 182.17922
##  [57] 220.95232 226.89219 215.89409 200.94001 191.96072 185.97911 182.96614
##  [64] 181.94652 181.82981 160.83904 140.86112 121.00000 121.00000 121.00005
##  [71] 121.01093 181.00451 181.99768 182.05670 195.05197 213.03383 235.90894
##  [78] 242.94993 242.90828 230.85040 205.93303 193.96291 186.98375 183.98841
##  [85] 182.00000 181.99978 181.90644 171.83727 151.80426 124.97227 121.00000
##  [92] 121.00000 181.99769 182.10825 205.99457 217.06765 242.99533 256.89286
##  [99] 243.99315 242.99988 242.81146 207.93531 194.96525 187.97450 182.99753
## [106] 182.00000 182.00000 181.99990 181.97798 181.73581 139.87734 121.00000
## [113] 121.00000 196.02138 207.98975 219.01986 230.02933 243.07729 259.92478
## [120] 244.96120 236.94025 220.98470 206.94682 194.96296 186.98363 182.99534
## [127] 182.00000 182.00000 182.00000 181.95767 172.90111 147.88793 212.03919
## [134] 229.01462 242.94518 242.92990 234.06133 242.97024 228.00181 219.99691
## [141] 210.98100 201.95589 189.97415 181.96480 172.01956 171.02411 171.01935
## [148] 169.99335 163.01290 156.95428 139.96037 127.96681 120.97625 213.08697
## [155] 233.03120 242.00676 242.87851 216.01376 210.06066 207.02892 203.01062
## [162] 196.98544 186.99194 177.96673 164.99125 155.03263 154.03711 154.01836
## [169] 150.01527 144.00351 135.99335 124.99434 116.99506 110.98331 102.97523
## [176]  92.03255  90.00322 182.09442 189.04022 189.02659 187.99256 181.93335
## [183] 164.95064 147.98665 137.04390 138.03018 137.02751 135.01370 130.98123
## [190] 121.03666 121.93597 106.95531  92.98135  80.94683  60.06702  60.06250
## [197]  60.06754  65.02899 174.05138 178.04020 181.88150 155.92827 135.97573
## [204] 125.04908 130.01732 130.01046 129.00358 126.98057 121.00001 120.93184
## [211] 105.93164  90.93354  75.98197  69.93183  60.00000  60.00005
## 
## [[2]]
##  [1] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
##  [9] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
## [17] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
## [25] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
## [33] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
## [41] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
## [49] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
## [57] 60.00000 60.00524 61.00248 60.00000 60.00000 60.00000 60.00521 61.00769
## [65] 63.00496
## 
## [[3]]
##  [1] 60.00000 59.99425 58.99424 57.98269 54.99071 60.00000 60.00000 60.00000
##  [9] 60.00000 60.00000 60.00000 60.00000 60.00000 59.99427 58.98852 56.99075
## [17] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 59.99428
## [25] 58.98854 60.00000 60.00000 60.00000 60.00000 60.00000
## 
## [[4]]
##   [1]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
##   [6]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
##  [11]  0.000000000  0.000000000  0.000000000  2.993618216  1.987208911
##  [16]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
##  [21]  0.000000000  0.000000000  3.987304908  1.995644241  0.995608841
##  [26]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
##  [31]  0.000000000  0.000000000  3.995695269  2.995659892  1.993646330
##  [36]  0.993632569  0.000000000  0.000000000  0.000000000  0.000000000
##  [41]  0.000000000  0.000000000  0.000000000  0.000000000  5.995746297
##  [46]  4.989425350  2.995701060  1.995678442  0.995655824  0.001973961
##  [51]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
##  [56]  0.000000000  0.000000000  0.000000000  6.989517959  4.989494260
##  [61]  2.997730552  1.995706849  0.995684231  0.001974601  0.000000000
##  [66]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
##  [71]  0.000000000  0.000000000  0.000000000  6.995803113  5.989537803
##  [76]  3.989501420  1.995735254  0.995712635  0.001975240  0.000000000
##  [81]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
##  [86]  0.000000000  0.000000000  0.000000000  0.000000000 12.991844011
##  [91] 10.997945894  9.989715842  6.997851539  5.995808898  4.989557644
##  [96]  2.989521261  0.995741039  0.001975877  0.000000000  0.000000000
## [101]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [106]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [111] 14.983713962 11.989795798  9.995905166  8.989723023  6.995859923
## [116]  5.989662776  3.997830176  2.991584121  0.997754781  0.001976512
## [121]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [126]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [131]  0.000000000  0.000000000  0.000000000 10.989815636  8.989791773
## [136]  6.997909617  5.995865703  4.989670087  2.995820461  1.989597317
## [141]  0.001977145  0.000000000  0.000000000  0.000000000  0.000000000
## [146]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [151]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [156]  9.983744065  6.997938651  5.989775114  3.997888139  2.997844296
## [161]  1.989665874  0.003955554  0.000000000  0.000000000  0.000000000
## [166]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [171]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [176]  0.000000000  0.000000000 10.983828055  7.991877859  5.989831281
## [181]  3.997904776  2.989758452  0.997854160  0.003956814  0.000000000
## [186]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [191]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [196]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [201] 11.998059621 10.989960279  8.991934709  6.983811679  3.997933802
## [206]  2.989814616  0.997870898  0.001979035  0.000000000  0.000000000
## [211]  0.000000000  0.000000000  0.006187586  0.991860510  0.000000000
## [216]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [221]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [226]  0.000000000 12.996034834 11.987971488  9.989967741  7.989931350
## [231]  5.983833246  2.989870778  0.997899919  0.001979662  0.000000000
## [236]  0.000000000  0.000000000  0.006146028  1.004212280  1.996134620
## [241]  1.991870799  0.998079023  0.991872887  0.000000000  0.000000000
## [246]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [251]  0.000000000  0.000000000  0.000000000 14.988042359 12.988027080
## [256] 10.996018083  9.987959750  7.981910504  4.983867124  1.989878393
## [261]  0.001980287  0.000000000  0.000000000  0.006104469  1.010279554
## [266]  2.994167628  2.996133424  2.998069596  2.991893132  1.991900079
## [271]  0.993787153  0.000000000  0.000000000  0.000000000  0.000000000
## [276]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [281]  0.000000000 16.988098006 14.994023029 13.986005686 11.991979309
## [286] 10.985968326  8.985937543  6.977895543  3.977884005  0.991966778
## [291]  0.000000000  0.006076702  1.016325891  4.000282071  4.996120340
## [296]  4.990006175  3.998077879  3.991915465  2.991910555  1.991905644
## [301]  0.991912455  0.000000000  0.000000000  0.000000000  0.000000000
## [306]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [311] 17.992004235 16.984035075 14.991994460 13.989981549 12.983993475
## [316] 10.989977412  9.975960742  6.981967354  4.986049630  3.992132141
## [321]  3.998242186  5.004391630  6.994190643  6.990032802  5.991947622
## [326]  4.998086164  4.991937800  3.991932889  2.991927978  1.985736197
## [331]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [336]  0.000000000  0.000000000  0.000000000  0.000000000 19.990000348
## [341] 18.989992243 17.987987567 16.988000368 15.988001194 14.986031868
## [346] 13.980036098 11.978079520  9.972086964  6.994123969  7.000211107
## [351]  8.000263229  8.990059432  7.991974870  6.991969958  5.991976727
## [356]  4.993856830  3.993843065  2.993829300  1.993803969  0.991952027
## [361]  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
## [366] 21.990030982 20.995945561 20.988026491 19.993977514 19.986057424
## [371] 18.992044891 18.978132329 16.972155669 13.974106066 10.992198449
## [376] 10.998280391 11.986232423 10.990078297  0.993815818  0.000000000
## [381] 23.995944485 23.993961174 23.988065419 22.994014311 22.994029060
## [386] 22.986138090 21.982139212 19.976147072 16.982125555 14.992231612
## [391] 14.992278694 14.988180597 13.982144994  0.993829864 27.991945982
## [396] 27.991981407 27.992005040 27.990065319 27.990109598  1.985862713
## 
## [[5]]
##   [1] 61.99999 61.99331 61.00000 61.00000 62.99335 62.00000 62.00000 61.99999
##   [9] 61.99333 61.00000 60.99999 60.00000 60.00000 63.99337 62.99999 62.99822
##  [17] 62.99336 62.00000 61.99999 61.99334 61.00000 60.99506 60.00000 60.00000
##  [25] 60.00000 60.00000 60.00000 64.99339 63.99339 63.00000 62.99999 62.99338
##  [33] 62.00000 61.99999 61.99336 60.99999 60.99829 60.99335 60.00000 60.00000
##  [41] 60.00000 60.00000 64.99519 63.99999 63.99823 63.99340 62.99999 62.99826
##  [49] 62.99339 61.99999 61.99338 61.00000 60.99999 60.99336 60.00000 60.00000
##  [57] 60.00000 60.00000 65.99999 65.99343 64.99344 64.00000 63.99999 63.99342
##  [65] 63.00000 62.99513 62.00000 61.99510 61.00000 61.00000 60.99506 60.00000
##  [73] 60.00000 60.00000 60.00000 60.00000 67.99346 66.99822 66.98869 64.99521
##  [81] 64.00000 64.00000 63.99999 63.99344 62.99514 62.00000 61.99511 61.00000
##  [89] 61.00000 60.99507 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
##  [97] 60.00000 60.00000 60.00000 60.00000 68.98876 67.00000 66.99523 65.99347
## [105] 64.99348 64.00000 64.00000 63.99517 62.99999 62.99345 61.99513 61.00000
## [113] 61.00000 60.99508 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
## [121] 60.00000 60.00000 60.00000 68.99527 67.99351 66.99525 65.99524 64.99999
## [129] 64.99349 64.00000 63.99999 63.99348 62.99515 61.99514 61.00000 61.00000
## [137] 60.99510 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
## [145] 60.00000 60.00000 69.99353 68.98881 66.99526 65.99999 65.99352 64.99522
## [153] 64.00000 64.00000 63.99518 62.99517 61.99515 61.00000 61.00000 60.99511
## [161] 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000 60.00000
## [169] 70.99999 70.98887 68.99528 67.99354 66.99355 65.99525 64.99999 64.99353
## [177] 64.00000 63.99520 62.99518 61.99999 61.99351 61.00000 60.99999 60.99349
## [185] 60.00000 60.00000 60.00000 60.00000 70.99531 69.99357 68.98887 66.99528
## [193] 65.99526 65.00000 64.99524 64.00000 63.99521 62.99520 62.00000 61.99517
## [201] 61.00000 60.00000 60.00000 69.99065 67.99702 66.99529 65.99528 64.99527
## [209] 64.00167 63.99525 62.99689 62.00165 62.00000 61.99518 61.00000 69.98601
## [217] 66.99236 64.99871 64.00337 63.99696 61.00164 61.00162 60.99519 68.99417
## [225] 66.99582 64.98941 62.00507 62.00336 62.00334 65.99588 63.99583 62.00041
## [233] 60.99703 60.00335 62.99244 61.00168 60.99535 60.00000
## 
## [[6]]
##  [1]  0.000000000  0.004923311  1.011680391  4.017325750 10.040508873
##  [6]  0.000000000  0.000000000  0.014686530  3.000439447  4.997401858
## [11]  7.020372484 13.030444855  0.000000000  0.000000000  0.000000000
## [16]  0.009707838  2.008321090  4.994148317  6.997328212  8.997391305
## [21] 11.017207200 17.022292766  0.000000000  0.000000000  0.000000000
## [26]  0.019304468  4.001983708  6.998943097  9.989278636 10.997333087
## [31] 12.997396180 15.012246839 20.030222830 28.012455744 33.015615547
## [36] 12.973116779 15.930301916 11.957388253 10.960683931  9.990897132
## [41] 11.994102468 13.997259707 15.989363982 16.997401063 19.012194185
## [46] 24.027070038 32.012403095 37.007571334 41.015665451 46.015761021
## [51] 51.005901427 54.017014431 58.010025472 59.997006079 60.000000000
## [56] 60.000000000 60.000000000 60.000000000 60.000000000 60.000000000
## [61] 42.876686684 36.866966211 22.946276374 18.960518886 15.986091513
## [66] 16.994100461 18.989332972 19.992474523 20.997405953 59.922606775
## [71] 54.833808322 31.938336785 24.966848576 21.981314095 21.989301969
## [76] 22.992444212 60.992052672 59.879646307 37.947843825 30.962170436
## [81] 26.984457281 26.989314242 27.984560984

Check out the data in the elev object

length(elev)

## [1] 195

nrow(SFtracts_NAD83)

## [1] 195

It’s a vector of the elevations for all the raster cells within each census tract!

Let’s take a closer look

# Large census tract at row 100
plot(SFtracts_NAD83$geometry)
plot(SFtracts_NAD83[100,]$geometry, add=T, col="red")

# Lots of cells
elev[100]

## [[1]]
##   [1]  0.0000000  0.0000000 11.9694923  7.9825166  0.0000000  0.0000000
##   [7]  0.0000000  0.0000000 15.9847869 13.9760609 10.9738777  7.9760281
##  [13]  4.9694673  0.9912873  0.0000000  0.0000000  0.0000000  0.0000000
##  [19]  0.0000000 19.9783876 16.9848376 14.9783228 11.9847861  9.9695773
##  [25]  5.9782114  2.9826049  0.9913046  0.0000000  0.0000000  0.0000000
##  [31]  0.0000000  0.0000000 27.9807047 24.9720297 20.9784381 17.9848739
##  [37] 15.9848411 13.9761831 10.9782943  7.9696127  3.9847807  1.9847760
##  [43]  0.0000000  0.0000000  0.0000000  0.0000000  0.0000000 30.9808025
##  [49] 27.9807612 24.9742932 20.9871050 18.9784702 15.9870641 13.9870225
##  [55] 11.9718774  7.9804583  4.9848170  2.9847984  0.9913441  0.0000000
##  [61]  0.0000000  0.0000000  0.0000000  0.0000000 31.9894746 29.9894241
##  [67] 27.9744186 23.9829388 20.9871472 18.9871057 16.9784881 13.9870647
##  [73] 11.9805418  8.9783769  5.9783583  2.9869546  0.9934635  0.0000000
##  [79]  0.0000000  0.0000000  0.0000000  0.0000000  0.0000000 32.9917348
##  [85] 30.9894945 28.9831011 25.9852143 22.9893714 20.9807770 17.9893126
##  [91] 15.9892624 13.9870928 11.9805979  8.9805567  5.9869965  3.9848711
##  [97]  1.9848662  0.0000000  0.0000000  0.0000000  0.0000000  0.0000000
## [103]  0.0000000 35.9918369 33.9895872 31.9895508 29.9895144 27.9831210
## [109] 24.9830709 21.9894053 19.9893550 17.9871760 15.9871484 13.9871209
## [115] 11.9806401  8.9870522  6.9784590  3.9934918  2.9848888  0.9914059
## [121]  0.0000000  0.0000000  0.0000000  0.0000000  0.0000000 37.9856198
## [127] 34.9896434 32.9896070 30.9895707 28.9958496 27.9809713 24.9809300
## [133] 21.9872591 19.9872316 17.9872041 15.9871766 13.9871491 11.9806823
## [139]  8.9870940  6.9870529  4.9849574  2.9870115  0.9934920  0.0000000
## [145]  0.0000000  0.0000000  0.0000000  0.0000000 39.9834898 36.9834397
## [151] 33.9896633 31.9896269 29.9895905 27.9958692 26.9831889 23.9831388
## [157] 20.9894450 18.9894086 16.9957425 15.9872047 13.9871772 11.9807245
## [163]  8.9871221  6.9870946  4.9870671  2.9870396  0.9935060  0.0000000
## [169]  0.0000000  0.0000000  0.0000000  0.0000000  0.0000000 39.9920216
## [175] 37.9919625 35.9834736 32.9896832 30.9896468 28.9958839 27.9874117
## [181] 25.9832229 22.9831727 19.9957936 18.9872879 16.9872739 14.9957258
## [187] 13.9872053 11.9807667  8.9871503  6.9871228  4.9870952  2.9870677
## [193]  0.9935201  0.0000000  0.0000000  0.0000000  0.0000000  0.0000000
## [199]  0.0000000 36.9897758 34.9835076 31.9897031 29.9896667 27.9959035
## [205] 26.9895939 24.9895439 22.9810566 19.9873571 17.9894484 15.9957543
## [211] 14.9872744 12.9957091 11.9808089  8.9871784  6.9871509  4.9871234
## [217]  2.9935346  1.9850289  0.0000000  0.0000000  0.0000000  0.0000000
## [223]  0.0000000  0.0000000 33.9835415 30.9959409 29.9875093 21.9895275
## [229] 19.9873717 17.9873441 15.9873300 13.9957376 12.9872749 10.9893094
## [235]  8.9872065  6.9871790  4.9871515  2.9935620  1.9870964  0.0000000
## [241]  0.0000000  0.0000000  0.0000000  0.0000000  0.0000000 18.9895245
## [247] 16.9957886 15.9873447 13.9873305 11.9893790  9.9893426  7.9893062
## [253]  5.9956531  4.9871796  2.9935760  1.9871246  0.0000000  0.0000000
## [259]  0.0000000  0.0000000  0.0000000  0.0000000 16.9874137 14.9957719
## [265] 13.9873453 11.9873178  9.9809486  6.9956816  5.9936176  4.9872077
## [271]  2.9935901  1.9871527  0.0000000 14.9874141 12.9957552 11.9810320
## [277]  8.9893692  6.9936454  5.9872764  3.9956423  2.9936042  1.9871808
## [283] 10.9894255  8.9873465  6.9873320  4.9956707  3.9936320  7.9894220
## [289]  5.9956992  4.9936598  5.9873880

Let’s get each tract’s average elevation

mean_elev = lapply(elev, mean, na.rm = T)
head(mean_elev)

## [[1]]
## [1] 59.591
## 
## [[2]]
## [1] 58.46084
## 
## [[3]]
## [1] 59.6559
## 
## [[4]]
## [1] 60
## 
## [[5]]
## [1] 60
## 
## [[6]]
## [1] 60

mean_elev[100]

## [[1]]
## [1] 11.38207

# Compare that to
mean(elev[100])

## Warning in mean.default(elev[100]): argument is not numeric or logical:
## returning NA

## [1] NA

#oops - use unlist to flatten a list of vectors to a single vector
mean(unlist(elev[100]))

## [1] 11.38207

Let’s add this to the SFtracts_NAD83 data.frame.

Note: Since the order remains the same, we can just add this right in!

SFtracts_NAD83$mean_elev = unlist(mean_elev)
head(SFtracts_NAD83)

## Simple feature collection with 6 features and 11 fields
## Geometry type: MULTIPOLYGON
## Dimension:     XY
## Bounding box:  xmin: -122.4432 ymin: 37.77376 xmax: -122.4055 ymax: 37.80218
## Geodetic CRS:  NAD83
##   STATEFP COUNTYFP TRACTCE             AFFGEOID       GEOID   NAME LSAD  ALAND
## 1      06      075  010700 1400000US06075010700 06075010700    107   CT 183170
## 2      06      075  012201 1400000US06075012201 06075012201 122.01   CT  92048
## 3      06      075  013102 1400000US06075013102 06075013102 131.02   CT 237886
## 4      06      075  013500 1400000US06075013500 06075013500    135   CT 235184
## 5      06      075  015500 1400000US06075015500 06075015500    155   CT 311339
## 6      06      075  016300 1400000US06075016300 06075016300    163   CT 245867
##   AWATER pop14                       geometry mean_elev
## 1      0  5311 MULTIPOLYGON (((-122.4129 3...  59.59100
## 2      0  4576 MULTIPOLYGON (((-122.4183 3...  58.46084
## 3      0  2692 MULTIPOLYGON (((-122.4302 3...  59.65590
## 4      0  2592 MULTIPOLYGON (((-122.4362 3...  60.00000
## 5      0  3918 MULTIPOLYGON (((-122.4432 3...  60.00000
## 6      0  4748 MULTIPOLYGON (((-122.4332 3...  60.00000

#what did we get?
elev_map <- tm_shape(SFtracts_NAD83) + 
  tm_polygons(col = 'mean_elev') +
  tm_layout("The pain of biking in SF, by census tract", 
            inner.margins = c(0, 0, 0.1, 0), 
            title.size = 4.8)

#display map
elev_map

We can also pass a function argument to raster::extract

elev <- extract(DEM_NAD83_crop, SFtracts_NAD83, fun=mean)

#what did that give us?
head(elev)

##          [,1]
## [1,] 59.59100
## [2,] 58.46084
## [3,] 59.65590
## [4,] 60.00000
## [5,] 60.00000
## [6,] 60.00000

Do you see the difference between those two approaches?

1. Mapping a vector layer on top of a raster layer (i.e. my_map)

2. Summarizing raster values by vector polygons, then mapping the polygons (elev_map)

You have another raster dataset in your ./data directory. The file is called nlcd2011_sf.tif.

This is data from the National Land Cover Database (NLCD).

It’s 2011 data that was downloaded from here.

Read that file in as an object called nlcd, and plot it.

# read in nlcd data


# plot nlcd

freq(nlcd)

##       value  count
##  [1,]    11 222187
##  [2,]    21  21713
##  [3,]    22  19966
##  [4,]    23  61919
##  [5,]    24  54480
##  [6,]    31   1150
##  [7,]    41    294
##  [8,]    42   3406
##  [9,]    43   4744
## [10,]    52   7224
## [11,]    71   2109
## [12,]    90    267
## [13,]    95     45

(Note: The colors in this barplot have no relation to the colors in our maps! Just pay attention to the categories on the x-axis.)

barplot(nlcd)

This is a categorical raster. Each cell on the raster holds a discrete (integer) value, coding a particular type of land-cover (rather than a continuous value, like we saw with our elevation data above).

Where do we do to figure out what the codes mean? This should come with the metadarad that ships with your data, or that is provided at the website where you downloaded it.

Here’s the NLCD legend.

Now that we’ve read in our NCLD data, check if we need to reproject it (we want it to be in the same projection as our SFtracts object), and project it if need be.

Then crop it to the extent of our SFtracts object.

# check projection equality
st_crs(nlcd) == st_crs(SFtracts_WGS84)

## [1] FALSE

#reproject
nlcd_WGS84 = projectRaster(nlcd, 
                         projectExtent(nlcd, st_crs(SFtracts_WGS84)$proj4string))

#check projection equality again
st_crs(nlcd_WGS84) ==  st_crs(SFtracts_WGS84)

## [1] TRUE

#crop
nlcd_WGS84_crop = crop(nlcd_WGS84, SFtracts_WGS84)

plot(nlcd_WGS84_crop)

Notice that the colors of our original, which conveniently represented the NLCD class colors from their website, are lost after reprojecting and cropping our raster.

Those colors were controlled by information in the original file, which was read into the @legend slot. Here’s the info (with hexadecimal format for color codes, e.g. ‘#00F900’):

nlcd@legend

## An object of class ".RasterLegend"
## Slot "type":
## character(0)
## 
## Slot "values":
## logical(0)
## 
## Slot "color":
## logical(0)
## 
## Slot "names":
## logical(0)
## 
## Slot "colortable":
##   [1] "#000000" "#00F900" "#000000" "#000000" "#000000" "#000000" "#000000"
##   [8] "#000000" "#000000" "#000000" "#000000" "#476BA0" "#D1DDF9" "#000000"
##  [15] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
##  [22] "#DDC9C9" "#D89382" "#ED0000" "#AA0000" "#000000" "#000000" "#000000"
##  [29] "#000000" "#000000" "#000000" "#B2ADA3" "#F9F9F9" "#000000" "#000000"
##  [36] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#68AA63"
##  [43] "#1C6330" "#B5C98E" "#000000" "#000000" "#000000" "#000000" "#000000"
##  [50] "#000000" "#000000" "#A58C30" "#CCBA7C" "#000000" "#000000" "#000000"
##  [57] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
##  [64] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
##  [71] "#000000" "#E2E2C1" "#C9C977" "#99C147" "#77AD93" "#000000" "#000000"
##  [78] "#000000" "#000000" "#000000" "#000000" "#DBD83D" "#AA7028" "#000000"
##  [85] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#BAD8EA"
##  [92] "#B5D3E5" "#B5D3E5" "#B5D3E5" "#B5D3E5" "#70A3BA" "#000000" "#000000"
##  [99] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [106] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [113] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [120] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [127] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [134] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [141] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [148] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [155] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [162] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [169] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [176] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [183] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [190] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [197] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [204] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [211] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [218] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [225] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [232] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [239] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [246] "#000000" "#000000" "#000000" "#000000" "#000000" "#000000" "#000000"
## [253] "#000000" "#000000" "#000000" "#000000"

What’s the @legend slot in our reproject, cropped object look like?

nlcd_WGS84_crop@legend

## An object of class ".RasterLegend"
## Slot "type":
## character(0)
## 
## Slot "values":
## logical(0)
## 
## Slot "color":
## logical(0)
## 
## Slot "names":
## logical(0)
## 
## Slot "colortable":
## logical(0)

Well that’s a bummer…

Is there a way we could transfer that information over to our reprojected, cropped raster?

Without looking ahead, think about how to transfer the @legend info from the original raster object to our new object.

nlcd_WGS84_crop@legend = nlcd@legend
plot(nlcd_WGS84_crop)

Looking good!

But what are all those funky-colored speckles?

Turns out that raster reprojection requires interpolation of values, in order to bring one grid’s values to another, unaligned grid’s values.

By default, raster uses bilinear interpolation to do this. But this doesn’t make sense for categorical variables, because it returns non-sensical fractional categorical values!

We can change this behavior by telling raster::projectRaster to use nearest-neighbor interpolation instead.

The ?projectRasterdocumentation notes that this method is better suited to categorical data.

So let’s do that:

#reproject again, this time using nearest-neighbor interpolation
nlcd_WGS84 <- projectRaster(nlcd, 
                          projectExtent(nlcd, 
                                        st_crs(SFtracts_WGS84)$proj4string),
                                        method = 'ngb') # Nearest neighbor

#check projection equality again
st_crs(nlcd_WGS84) == st_crs(SFtracts_WGS84)

## [1] TRUE

#crop again
nlcd_WGS84_crop = crop(nlcd_WGS84, SFtracts_WGS84)
#grab our legend again
nlcd_WGS84_crop@legend = nlcd@legend

#plot to check again - dan, dan, dah!
plot(nlcd_WGS84_crop)

# Take a look at just the nlcd cells coded developed, low density (22)
lowdens <- mask(nlcd, nlcd == 22, maskvalue=F)
freq(lowdens)

##      value  count
## [1,]    22  19966
## [2,]    NA 379538

plot(lowdens)

# Recode the values to 1
lowdens1 <- lowdens
lowdens1[lowdens == 22] <- 1
freq(lowdens1)

##      value  count
## [1,]     1  19966
## [2,]    NA 379538

plot(lowdens1)

We can add, subtract, mult, divide, etc, raster of the same extent (CRS) and resolution.

Here is just a dummy example!

lowdens2 <- lowdens1 + lowdens1
freq(lowdens2)

##      value  count
## [1,]     2  19966
## [2,]    NA 379538

When we’re working with a categorical raster we’ll often want to reclassify our data. We may want to do this because:

• Our original data has more classifications than we actually need for our analysis.
• We want to represent the classifications we do have by a different numerical scheme because it somehow makes our analysis more convenient.

Let’s reclass our NLCD data. First we’ll need to define a reclassification matrix with 3 columns (low, high, to):

?reclassify

See https://www.mrlc.gov/data/legends/national-land-cover-database-2011-nlcd2011-legend

#freq(nlcd) #to see all vals

# Note: by default, the ranges dont include left val, but include right
reclass_vec <- c(0, 20, NA, # water will be set to NA (i.e. 'left out' of our analysis)
                20, 21, 1,  # we'll treat developed open space as greenspace, 
                            #  based on the NLCD description
                21, 30, 0,  # developed and hardscape will be set to 0s
                30, 31, NA, 
                31, Inf, 1) # greenspace will have 1s

# take a look at the table 
reclass_vec 

##  [1]   0  20  NA  20  21   1  21  30   0  30  31  NA  31 Inf   1

# Create the reclass matrix
reclass_m <- matrix(reclass_vec, ncol = 3, byrow = TRUE)
reclass_m

##      [,1] [,2] [,3]
## [1,]    0   20   NA
## [2,]   20   21    1
## [3,]   21   30    0
## [4,]   30   31   NA
## [5,]   31  Inf    1

nlcd_green <- reclassify(nlcd_WGS84_crop, reclass_m)

What did we get?

freq(nlcd_green)

##      value  count
## [1,]     0  74979
## [2,]     1  16578
## [3,]    NA 114049

What did we get?

barplot(nlcd_green)

What did we get?

plot(nlcd_green)

Just like we did earlier with our elevation data, let’s extract our reclassed NLCD data to our census-tract polygons.

# extract the mean nlcd_simple values to tract polygons
#greenspace <- ...

greenspace

What’s with all the NAs?

Remember, we set all water cells to NA, to ignore them in our analysis.

Let’s run the same command again, but telling the extract function to ignore NAs.

The na.rm argument will do this for us. See how the docs indicate that it is set to FALSE by default?

?raster::extract

Good to know! Also good to know that this is a common argument across a variety of R operations.

#extract the mean nlcd_simple values to tract polygons,
#this time setting na.rm to TRUE
greenspace <- extract(nlcd_green, SFtracts_WGS84, fun=mean, na.rm = T)

#and add to our SFtracts dataframe (which we can do because order is preserved)
SFtracts_WGS84$prop_greenspace = greenspace

Pulling code from the end of Part II of this workshop, let’s aggregate our homes data to the tract level too.

#aggregate totvalue to SFtracts
SFtracts_w_mean_val <- aggregate(x = SFhomes15_WGS84['totvalue'],
                                 by = SFtracts_WGS84,
                                 FUN = mean)

#and add the totvalue column to our SFtracts dataframe
SFtracts_WGS84$mean_totvalue <- SFtracts_w_mean_val$totvalue

Here we use the “quick tmap” function qtm.

qtm(SFtracts_w_mean_val, fill = 'totvalue')

Do mean elevation and proportion greenspace predict mean home values?

(Note: This is not a statistically valid model! Just an example of a raster data analysis workflow.)

mod <- lm(mean_totvalue ~ unlist(mean_elev) + prop_greenspace, data = SFtracts_WGS84)
summary(mod)

## 
## Call:
## lm(formula = mean_totvalue ~ unlist(mean_elev) + prop_greenspace, 
##     data = SFtracts_WGS84)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -712033 -309403    9402  248431 1761021 
## 
## Coefficients:
##                    Estimate Std. Error t value Pr(>|t|)    
## (Intercept)       1166105.7    61307.9  19.020   <2e-16 ***
## unlist(mean_elev)    1341.0      842.7   1.591    0.113    
## prop_greenspace   -146481.5   250481.8  -0.585    0.559    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 378100 on 184 degrees of freedom
##   (8 observations deleted due to missingness)
## Multiple R-squared:  0.01402,    Adjusted R-squared:  0.003302 
## F-statistic: 1.308 on 2 and 184 DF,  p-value: 0.2728

Not at the census-tract level. But that’s kind of coarse…

What if we want to do the analysis at the property level?

We have added this workflow as an appendix in a separate document, 10_Raster_appendix.Rmd. It puts together a bunch of what we’ve learned over Parts I to III of the workshop. Feel free to give it try later!

A RasterStack is a collection of RasterLayer objects with the same spatial extent and resolution.

A RasterStack can be created from RasterLayer objects, or from multiple raster files.

#?raster::stack

# Create a stack from 2 rasters
DEMx2 <- stack(DEM_NAD83_crop, DEM_NAD83_crop_masked)
DEMx2

## class      : RasterStack 
## dimensions : 187, 224, 41888, 2  (nrow, ncol, ncell, nlayers)
## resolution : 0.0008333663, 0.0008333239  (x, y)
## extent     : -122.5148, -122.3281, 37.70781, 37.86364  (xmin, xmax, ymin, ymax)
## crs        : +proj=longlat +datum=NAD83 +no_defs 
## names      : san_francisco.e.1, san_francisco.e.2 
## min values :                 0,                 0 
## max values :          303.9921,          269.8798

# Plot the stack
plot(DEMx2)

# Plot one layer in the stack
plot(DEMx2[[1]])

# Does this work?
#demNelev <- stack(DEM_NAD83_crop, nlcd_WGS84_crop)

A RasterBrick is a multi-layer raster object that is created from a single file or raster stack.

Raster computations on a brick are faster than on a raster stack!

#?raster::brick

# Creating a brick from a stack
DEMx2brick <- brick(DEMx2)
# or
#DEMx2brick <- brick(DEM_NAD83_crop, DEM_NAD83_crop_masked)

#Take a look
DEMx2brick

## class      : RasterBrick 
## dimensions : 187, 224, 41888, 2  (nrow, ncol, ncell, nlayers)
## resolution : 0.0008333663, 0.0008333239  (x, y)
## extent     : -122.5148, -122.3281, 37.70781, 37.86364  (xmin, xmax, ymin, ymax)
## crs        : +proj=longlat +datum=NAD83 +no_defs 
## source     : memory
## names      : san_francisco.e.1, san_francisco.e.2 
## min values :                 0,                 0 
## max values :          303.9921,          269.8798

# Summary stats
summary(DEMx2brick)

##         san_francisco.e.1 san_francisco.e.2
## Min.               0.0000           0.00000
## 1st Qu.            0.0000          30.01013
## Median             0.0000          60.00000
## 3rd Qu.           60.0000          69.99589
## Max.             303.9921         269.87975
## NA's               0.0000       23283.00000

# Plotting
plot(DEMx2brick)

plot(DEMx2brick[[1]])

Calculations across raster layers

# Mean values
mean_dem <- mean(DEMx2brick)
hist(mean_dem)

Where to start my SF apartment hunting?

My evaluative criteria?

• Land cover class is low-med intensity
• Elevation is high, I want a view

Approach? Let’s discuss

# Psuedo code as comments

• Geocomputation in R - THE book on working with geospatial data in R. Raster sections feature the new+fabulous terra package.

• The raster package vignettes

• A National Ecological Observatory Network tutorial

• A National Center for Ecological Analysis and Synthesis tutorial

• A Waginingen University & Research tutorial

• A really well organized, intro raster tutorial by Dr. Emily Burchfield